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112123321302132 = 223272887915406829
BaseRepresentation
bin11001011111100110111110…
…101111001011110001110100
3112200222212220001011212120200
4121133212332233023301310
5104144012030223132012
61034244424232200500
732421433266013620
oct3137467657136164
9480885801155520
10112123321302132
11327a926290a598
12106aa301539130
134a74250b5020a
141d98b24c9a180
15ce68b90553dc
hex65f9bebcbc74

112123321302132 has 72 divisors (see below), whose sum is σ = 323923054291200. Its totient is φ = 32034123286848.

The previous prime is 112123321302131. The next prime is 112123321302143. The reversal of 112123321302132 is 231203123321211.

112123321302132 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 2 + 3 + 321 + 302 + 1 + 32 = 666.

It is a super-3 number, since 3×1121233213021323 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 112123321302096 and 112123321302105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112123321302131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425907 + ... + 14980922.

It is an arithmetic number, because the mean of its divisors is an integer number (4498931309600).

Almost surely, 2112123321302132 is an apocalyptic number.

112123321302132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112123321302132 is an abundant number, since it is smaller than the sum of its proper divisors (211799732989068).

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

112123321302132 is a wasteful number, since it uses less digits than its factorization.

112123321302132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15435725 (or 15435720 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 112123321302132 its reverse (231203123321211), we get a palindrome (343326444623343).

The spelling of 112123321302132 in words is "one hundred twelve trillion, one hundred twenty-three billion, three hundred twenty-one million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 28879 57758 86637 115516 173274 202153 259911 346548 404306 519822 606459 808612 1039644 1212918 1819377 2425836 3638754 7277508 15406829 30813658 46220487 61627316 92440974 107847803 138661461 184881948 215695606 277322922 323543409 431391212 554645844 647086818 970630227 1294173636 1941260454 3882520908 444933814691 889867629382 1334801444073 1779735258764 2669602888146 3114536702837 4004404332219 5339205776292 6229073405674 8008808664438 9343610108511 12458146811348 16017617328876 18687220217022 28030830325533 37374440434044 56061660651066 112123321302132