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10157031 = 326771667
BaseRepresentation
bin100110101111…
…101111100111
3201010000211100
4212233233213
510100011111
61001411143
7152222223
oct46575747
921100740
1010157031
115808145
123499ab3
1321481a1
1414c5783
15d59756
hex9afbe7

10157031 has 12 divisors (see below), whose sum is σ = 14701752. Its totient is φ = 6757296.

The previous prime is 10157023. The next prime is 10157033. The reversal of 10157031 is 13075101.

It is a happy number.

It is not a de Polignac number, because 10157031 - 23 = 10157023 is a prime.

It is a super-2 number, since 2×101570312 = 206330557469922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10156995 and 10157013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5260 + ... + 6926.

It is an arithmetic number, because the mean of its divisors is an integer number (1225146).

Almost surely, 210157031 is an apocalyptic number.

10157031 is a deficient number, since it is larger than the sum of its proper divisors (4544721).

10157031 is a wasteful number, since it uses less digits than its factorization.

10157031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 10157031 is about 3187.0097270012. The cubic root of 10157031 is about 216.5653272308.

The spelling of 10157031 in words is "ten million, one hundred fifty-seven thousand, thirty-one".

Divisors: 1 3 9 677 1667 2031 5001 6093 15003 1128559 3385677 10157031