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34301112132 = 22372698631759
BaseRepresentation
bin11111111100100000…
…010110111101000100
310021112111121001000110
4133330200112331010
51030222041042012
623431355513020
72323004433240
oct377440267504
9107474531013
1034301112132
11136020a1261
126793458770
1333084b3871
141935781420
15d5b52c73c
hex7fc816f44

34301112132 has 96 divisors (see below), whose sum is σ = 91968307200. Its totient is φ = 9747027072.

The previous prime is 34301112107. The next prime is 34301112187. The reversal of 34301112132 is 23121110343.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34301112099 and 34301112108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19499469 + ... + 19501227.

It is an arithmetic number, because the mean of its divisors is an integer number (958003200).

Almost surely, 234301112132 is an apocalyptic number.

It is an amenable number.

34301112132 is an abundant number, since it is smaller than the sum of its proper divisors (57667195068).

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

34301112132 is a wasteful number, since it uses less digits than its factorization.

34301112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 34301112132 its reverse (23121110343), we get a palindrome (57422222475).

The spelling of 34301112132 in words is "thirty-four billion, three hundred one million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 269 538 807 863 1076 1614 1726 1759 1883 2589 3228 3452 3518 3766 5178 5277 5649 6041 7036 7532 10356 10554 11298 12082 12313 18123 21108 22596 24164 24626 36246 36939 49252 72492 73878 147756 232147 464294 473171 696441 928588 946342 1392882 1419513 1518017 1625029 1892684 2785764 2839026 3036034 3250058 3312197 4554051 4875087 5678052 6072068 6500116 6624394 9108102 9750174 9936591 10626119 13248788 18216204 19500348 19873182 21252238 31878357 39746364 42504476 63756714 127513428 408346573 816693146 1225039719 1633386292 2450079438 2858426011 4900158876 5716852022 8575278033 11433704044 17150556066 34301112132