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22221100100112 = 2433715182860137
BaseRepresentation
bin1010000110101110000001…
…10001110010101000010000
32220200022112200011012000120
411003113000301302220100
510403032303111200422
6115132122113350240
74452264401251554
oct503270061625020
986608480135016
1022221100100112
117097a08781591
1225aa721568380
13c525964292c4
1456b71523b864
1528804d90945c
hex1435c0c72a10

22221100100112 has 80 divisors (see below), whose sum is σ = 59346419478912. Its totient is φ = 7159115750400.

The previous prime is 22221100100041. The next prime is 22221100100113. The reversal of 22221100100112 is 21100100112222.

It is a junction number, because it is equal to n+sod(n) for n = 22221100100091 and 22221100100100.

It is not an unprimeable number, because it can be changed into a prime (22221100100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41161893 + ... + 41698244.

Almost surely, 222221100100112 is an apocalyptic number.

It is an amenable number.

22221100100112 is an abundant number, since it is smaller than the sum of its proper divisors (37125319378800).

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

22221100100112 is a wasteful number, since it uses less digits than its factorization.

22221100100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82860336 (or 82860330 counting only the distinct ones).

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

Adding to 22221100100112 its reverse (21100100112222), we get a palindrome (43321200212334).

It can be divided in two parts, 222 and 21100100112, that multiplied together give a palindrome (4684222224864).

The spelling of 22221100100112 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 151 222 296 302 444 453 592 604 888 906 1208 1776 1812 2416 3624 5587 7248 11174 16761 22348 33522 44696 67044 89392 134088 268176 82860137 165720274 248580411 331440548 497160822 662881096 994321644 1325762192 1988643288 3065825069 3977286576 6131650138 9197475207 12263300276 12511880687 18394950414 24526600552 25023761374 36789900828 37535642061 49053201104 50047522748 73579801656 75071284122 100095045496 147159603312 150142568244 200190090992 300285136488 462939585419 600570272976 925879170838 1388818756257 1851758341676 2777637512514 3703516683352 5555275025028 7407033366704 11110550050056 22221100100112