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20112200022222 = 232721113913148997
BaseRepresentation
bin1001001001010101111001…
…00010011011100011001110
32122012201002210121012011100
410210222330202123203032
510114004241201202342
6110435230034003530
74144026031333200
oct444527442334316
978181083535140
1020112200022222
116454599652430
122309a671165a6
13b2b75951c429
144d76156c6770
1524d2701a1e4c
hex124abc89b8ce

20112200022222 has 144 divisors (see below), whose sum is σ = 55303567396272. Its totient is φ = 5223537527040.

The previous prime is 20112200022217. The next prime is 20112200022241. The reversal of 20112200022222 is 22222000221102.

20112200022222 is a `hidden beast` number, since 201 + 1 + 220 + 0 + 0 + 22 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20112200022195 and 20112200022204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134909428 + ... + 135058424.

It is an arithmetic number, because the mean of its divisors is an integer number (384052551363).

Almost surely, 220112200022222 is an apocalyptic number.

20112200022222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112200022222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27651783698136).

20112200022222 is an abundant number, since it is smaller than the sum of its proper divisors (35191367374050).

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

20112200022222 is a wasteful number, since it uses less digits than its factorization.

20112200022222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162943 (or 162933 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20112200022222 its reverse (22222000221102), we get a palindrome (42334200243324).

The spelling of 20112200022222 in words is "twenty trillion, one hundred twelve billion, two hundred million, twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 3234 4851 9702 13913 27826 41739 83478 97391 125217 148997 153043 194782 250434 292173 297994 306086 446991 459129 584346 681737 876519 893982 918258 1042979 1071301 1340973 1363474 1377387 1638967 1753038 2045211 2085958 2142602 2681946 2754774 3128937 3213903 3277934 4090422 4916901 6135633 6257874 6427806 7300853 7499107 9386811 9641709 9833802 11472769 12271266 14601706 14750703 14998214 18773622 19283418 21902559 22497321 22945538 29501406 34418307 43805118 44994642 65707677 67491963 68836614 80309383 103254921 131415354 134983926 160618766 206509842 240928149 481856298 722784447 1445568894 2072995261 4145990522 6218985783 12437971566 14510966827 18656957349 22802947871 29021933654 37313914698 43532900481 45605895742 68408843613 87065800962 101576767789 130598701443 136817687226 159620635097 203153535578 205226530839 261197402886 304730303367 319241270194 410453061678 478861905291 609460606734 914190910101 957723810582 1117344445679 1436585715873 1828381820202 2234688891358 2873171431746 3352033337037 6704066674074 10056100011111 20112200022222