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201112121220 = 223561149368783
BaseRepresentation
bin1011101101001100110…
…1110110111110000100
3201020002211221022000020
42323103031312332010
511243334200334340
6232220054415140
720346513552633
oct2732315667604
9636084838006
10201112121220
117832260534a
1232b880614b0
1315c7085507a
149a3ba9751a
155370e019d0
hex2ed3376f84

201112121220 has 96 divisors (see below), whose sum is σ = 576188121600. Its totient is φ = 52396546560.

The previous prime is 201112121129. The next prime is 201112121251. The reversal of 201112121220 is 22121211102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201112121220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360949 + ... + 729731.

It is an arithmetic number, because the mean of its divisors is an integer number (6001959600).

Almost surely, 2201112121220 is an apocalyptic number.

201112121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201112121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288094060800).

201112121220 is an abundant number, since it is smaller than the sum of its proper divisors (375076000380).

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

201112121220 is a wasteful number, since it uses less digits than its factorization.

201112121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369005 (or 369003 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201112121220 its reverse (22121211102), we get a palindrome (223233332322).

The spelling of 201112121220 in words is "two hundred one billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 149 183 244 298 305 366 447 596 610 732 745 894 915 1220 1490 1788 1830 2235 2980 3660 4470 8940 9089 18178 27267 36356 45445 54534 90890 109068 136335 181780 272670 368783 545340 737566 1106349 1475132 1843915 2212698 3687830 4425396 5531745 7375660 11063490 22126980 22495763 44991526 54948667 67487289 89983052 109897334 112478815 134974578 164846001 219794668 224957630 269949156 274743335 329692002 337436445 449915260 549486670 659384004 674872890 824230005 1098973340 1349745780 1648460010 3296920020 3351868687 6703737374 10055606061 13407474748 16759343435 20111212122 33518686870 40222424244 50278030305 67037373740 100556060610 201112121220