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200121112211112 = 23342814999219851
BaseRepresentation
bin101101100000001001010011…
…110011100010111010101000
3222020120101120101121211220000
4231200021103303202322220
5202212241014211223422
61545342211512303000
760103162501162101
oct5540112363427250
9866511511554800
10200121112211112
1158845983773104
121a54098b6a1a60
138788455a11021
14375bcb09673a8
1518209219ddcac
hexb60253ce2ea8

200121112211112 has 160 divisors (see below), whose sum is σ = 562634245800000. Its totient is φ = 66456046944000.

The previous prime is 200121112211101. The next prime is 200121112211117. The reversal of 200121112211112 is 211112211121002.

It is a happy number.

200121112211112 is a `hidden beast` number, since 200 + 121 + 11 + 221 + 1 + 112 = 666.

200121112211112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2001211122111122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (200121112211117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 910147987 + ... + 910367837.

It is an arithmetic number, because the mean of its divisors is an integer number (3516464036250).

Almost surely, 2200121112211112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200121112211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281317122900000).

200121112211112 is an abundant number, since it is smaller than the sum of its proper divisors (362513133588888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200121112211112 is a wasteful number, since it uses less digits than its factorization.

200121112211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225149 (or 225136 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 200121112211112 its reverse (211112211121002), we get a palindrome (411233323332114).

The spelling of 200121112211112 in words is "two hundred trillion, one hundred twenty-one billion, one hundred twelve million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 281 324 562 648 843 1124 1686 2248 2529 3372 4999 5058 6744 7587 9998 10116 14997 15174 19996 20232 22761 29994 30348 39992 44991 45522 59988 60696 89982 91044 119976 134973 179964 182088 219851 269946 359928 404919 439702 539892 659553 809838 879404 1079784 1319106 1404719 1619676 1758808 1978659 2638212 2809438 3239352 3957318 4214157 5276424 5618876 5935977 7914636 8428314 11237752 11871954 12642471 15829272 16856628 17807931 23743908 25284942 33713256 35615862 37927413 47487816 50569884 61778131 71231724 75854826 101139768 113782239 123556262 142463448 151709652 185334393 227564478 247112524 303419304 370668786 455128956 494225048 556003179 741337572 910257912 1099035149 1112006358 1482675144 1668009537 2198070298 2224012716 3297105447 3336019074 4396140596 4448025432 5004028611 6594210894 6672038148 8792281192 9891316341 10008057222 13188421788 13344076296 19782632682 20016114444 26376843576 29673949023 39565265364 40032228888 59347898046 79130530728 89021847069 118695796092 178043694138 237391592184 308828876869 356087388276 617657753738 712174776552 926486630607 1235315507476 1852973261214 2470631014952 2779459891821 3705946522428 5558919783642 7411893044856 8338379675463 11117839567284 16676759350926 22235679134568 25015139026389 33353518701852 50030278052778 66707037403704 100060556105556 200121112211112