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10131210331 = 112412042171
BaseRepresentation
bin10010110111101111…
…00000000001011011
3222011001122210212021
421123313200001123
5131222042212311
64353150555311
7506026603234
oct113367400133
928131583767
1010131210331
114329893300
121b68b08b37
13c55c3ab18
146c175a08b
153e467a171
hex25bde005b

10131210331 has 12 divisors (see below), whose sum is σ = 11407572792. Its totient is φ = 8985548000.

The previous prime is 10131210307. The next prime is 10131210337. The reversal of 10131210331 is 13301213101.

10131210331 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 10131210331 - 27 = 10131210203 is a prime.

It is a super-2 number, since 2×101312103312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10131210337) 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, 1016125 + ... + 1026046.

It is an arithmetic number, because the mean of its divisors is an integer number (950631066).

Almost surely, 210131210331 is an apocalyptic number.

10131210331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10131210331 is a deficient number, since it is larger than the sum of its proper divisors (1276362461).

10131210331 is a wasteful number, since it uses less digits than its factorization.

10131210331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042234 (or 2042223 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10131210331 its reverse (13301213101), we get a palindrome (23432423432).

The spelling of 10131210331 in words is "ten billion, one hundred thirty-one million, two hundred ten thousand, three hundred thirty-one".

Divisors: 1 11 41 121 451 4961 2042171 22463881 83729011 247102691 921019121 10131210331