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10131521031 = 321959248661
BaseRepresentation
bin10010110111110001…
…01011111000000111
3222011002020121001200
421123320223320013
5131222132133111
64353201353543
7506032336122
oct113370537007
928132217050
1010131521031
114329a85785
121b690388b3
13c56019378
146c17db3b9
153e46dc256
hex25be2be07

10131521031 has 12 divisors (see below), whose sum is σ = 15404652120. Its totient is φ = 6398855280.

The previous prime is 10131521021. The next prime is 10131521039. The reversal of 10131521031 is 13012513101.

10131521031 is a `hidden beast` number, since 10 + 131 + 521 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 10131521031 - 218 = 10131258887 is a prime.

It is a super-2 number, since 2×101315210312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131520995 and 10131521013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131521039) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29624160 + ... + 29624501.

It is an arithmetic number, because the mean of its divisors is an integer number (1283721010).

Almost surely, 210131521031 is an apocalyptic number.

10131521031 is a deficient number, since it is larger than the sum of its proper divisors (5273131089).

10131521031 is a wasteful number, since it uses less digits than its factorization.

10131521031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59248686 (or 59248683 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The spelling of 10131521031 in words is "ten billion, one hundred thirty-one million, five hundred twenty-one thousand, thirty-one".

Divisors: 1 3 9 19 57 171 59248661 177745983 533237949 1125724559 3377173677 10131521031