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10431397137 = 371134395869
BaseRepresentation
bin10011011011100001…
…00111110100010001
3222220222111212202010
421231300213310101
5132330414202022
64443033013133
7516333261360
oct115560476421
928828455663
1010431397137
114473285077
1220315541a9
13ca31a2955
1470d57b7d7
15410bc450c
hex26dc27d11

10431397137 has 16 divisors (see below), whose sum is σ = 16036133760. Its totient is φ = 5908046592.

The previous prime is 10431397117. The next prime is 10431397153. The reversal of 10431397137 is 73179313401.

10431397137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10431397137 - 26 = 10431397073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10431397095 and 10431397104.

It is not an unprimeable number, because it can be changed into a prime (10431397117) 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 15 ways as a sum of consecutive naturals, for example, 2195562 + ... + 2200307.

It is an arithmetic number, because the mean of its divisors is an integer number (1002258360).

Almost surely, 210431397137 is an apocalyptic number.

It is an amenable number.

10431397137 is a deficient number, since it is larger than the sum of its proper divisors (5604736623).

10431397137 is a wasteful number, since it uses less digits than its factorization.

10431397137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395992.

The product of its (nonzero) digits is 47628, while the sum is 39.

The spelling of 10431397137 in words is "ten billion, four hundred thirty-one million, three hundred ninety-seven thousand, one hundred thirty-seven".

Divisors: 1 3 7 21 113 339 791 2373 4395869 13187607 30771083 92313249 496733197 1490199591 3477132379 10431397137