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112022120022102 = 23354724469154991
BaseRepresentation
bin11001011110001000101110…
…101010111100000001010110
3112200122012200011010011221000
4121132020232222330001112
5104140332300211201402
61034130130153404130
732411221364226153
oct3136105652740126
9480565604104830
10112022120022102
113276a350383a84
1210692779409646
134a678434bb7b4
141d93c8449522a
15ce3e4462ac1c
hex65e22eabc056

112022120022102 has 64 divisors (see below), whose sum is σ = 249404942822400. Its totient is φ = 37270678404960.

The previous prime is 112022120022061. The next prime is 112022120022103. The reversal of 112022120022102 is 201220021220211.

It is a happy number.

112022120022102 is a `hidden beast` number, since 1 + 1 + 20 + 221 + 200 + 221 + 0 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112022120022103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722687827 + ... + 722842817.

It is an arithmetic number, because the mean of its divisors is an integer number (3896952231600).

Almost surely, 2112022120022102 is an apocalyptic number.

112022120022102 is an abundant number, since it is smaller than the sum of its proper divisors (137382822800298).

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

112022120022102 is a wasteful number, since it uses less digits than its factorization.

112022120022102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180018 (or 180012 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112022120022102 its reverse (201220021220211), we get a palindrome (313242141242313).

The spelling of 112022120022102 in words is "one hundred twelve trillion, twenty-two billion, one hundred twenty million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 547 1094 1641 3282 4923 9846 14769 24469 29538 48938 73407 146814 154991 220221 309982 440442 464973 660663 929946 1321326 1394919 2789838 4184757 8369514 13384543 26769086 40153629 80307258 84780077 120460887 169560154 240921774 254340231 361382661 508680462 722765322 763020693 1526041386 2289062079 3792474779 4578124158 7584949558 11377424337 22754848674 34132273011 68264546022 102396819033 204793638066 2074483704113 4148967408226 6223451112339 12446902224678 18670353337017 37340706674034 56011060011051 112022120022102