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10131304302432 = 253235178139939
BaseRepresentation
bin1001001101101110000011…
…0010110100011101100000
31022212112200000102221000200
42103123200302310131200
52311442402400134212
633314131255545200
72063651110451535
oct223334062643540
938775600387020
1010131304302432
113256731179945
12117762138b200
135864bb313431
14270501918d8c
151288125466dc
hex936e0cb4760

10131304302432 has 36 divisors (see below), whose sum is σ = 28810896610860. Its totient is φ = 3377101434048.

The previous prime is 10131304302373. The next prime is 10131304302527. The reversal of 10131304302432 is 23420340313101.

It is a happy number.

10131304302432 is a `hidden beast` number, since 1 + 0 + 1 + 313 + 0 + 4 + 302 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×101313043024322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131304302396 and 10131304302405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17589069682 + ... + 17589070257.

It is an arithmetic number, because the mean of its divisors is an integer number (800302683635).

Almost surely, 210131304302432 is an apocalyptic number.

10131304302432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10131304302432 is an abundant number, since it is smaller than the sum of its proper divisors (18679592308428).

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

10131304302432 is a wasteful number, since it uses less digits than its factorization.

10131304302432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35178139955 (or 35178139944 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10131304302432 its reverse (23420340313101), we get a palindrome (33551644615533).

The spelling of 10131304302432 in words is "ten trillion, one hundred thirty-one billion, three hundred four million, three hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35178139939 70356279878 105534419817 140712559756 211068839634 281425119512 316603259451 422137679268 562850239024 633206518902 844275358536 1125700478048 1266413037804 1688550717072 2532826075608 3377101434144 5065652151216 10131304302432