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112422144342132 = 223271434910113503
BaseRepresentation
bin11001100011111101010001…
…111110100111100001110100
3112202001110012112110010201200
4121203331101332213201310
5104213411022422422012
61035034004203052500
732452142352651102
oct3143752176474164
9482043175403650
10112422144342132
1132903a66707379
12107381b8811130
134a96493b93691
141da9391988c72
15cee55822a3dc
hex663f51fa7874

112422144342132 has 72 divisors (see below), whose sum is σ = 288247000204800. Its totient is φ = 36937745624640.

The previous prime is 112422144342119. The next prime is 112422144342149. The reversal of 112422144342132 is 231243441224211.

112422144342132 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 2 + 1 + 4 + 434 + 213 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6059293 + ... + 16172795.

It is an arithmetic number, because the mean of its divisors is an integer number (4003430558400).

Almost surely, 2112422144342132 is an apocalyptic number.

112422144342132 is a gapful number since it is divisible by the number (12) 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 112422144342132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144123500102400).

112422144342132 is an abundant number, since it is smaller than the sum of its proper divisors (175824855862668).

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

112422144342132 is a wasteful number, since it uses less digits than its factorization.

112422144342132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117933 (or 10117928 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 112422144342132 its reverse (231243441224211), we get a palindrome (343665585566343).

The spelling of 112422144342132 in words is "one hundred twelve trillion, four hundred twenty-two billion, one hundred forty-four million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 4349 8698 13047 17396 26094 39141 52188 78282 156564 308779 617558 926337 1235116 1852674 2779011 3705348 5558022 10113503 11116044 20227006 30340509 40454012 60681018 91021527 121362036 182043054 364086108 718058713 1436117426 2154176139 2872234852 4308352278 6462528417 8616704556 12925056834 25850113668 43983624547 87967249094 131950873641 175934498188 263901747282 395852620923 527803494564 791705241846 1583410483692 3122837342837 6245674685674 9368512028511 12491349371348 18737024057022 28105536085533 37474048114044 56211072171066 112422144342132