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10264272031 = 1323110331123
BaseRepresentation
bin10011000111100110…
…00101110010011111
3222111100001001012101
421203303011302133
5132010123201111
64414302545531
7512233605226
oct114363056237
928440031171
1010264272031
114397a06552
121ba55982a7
13c77689060
146d52b5cbd
154011b0bc1
hex263cc5c9f

10264272031 has 16 divisors (see below), whose sum is σ = 11545261056. Its totient is φ = 9054261216.

The previous prime is 10264272023. The next prime is 10264272047. The reversal of 10264272031 is 13027246201.

It is not a de Polignac number, because 10264272031 - 23 = 10264272023 is a prime.

It is a super-2 number, since 2×102642720312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10264272061) 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 15 ways as a sum of consecutive naturals, for example, 314236 + ... + 345358.

It is an arithmetic number, because the mean of its divisors is an integer number (721578816).

Almost surely, 210264272031 is an apocalyptic number.

10264272031 is a deficient number, since it is larger than the sum of its proper divisors (1280989025).

10264272031 is a wasteful number, since it uses less digits than its factorization.

10264272031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32262.

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 10264272031 in words is "ten billion, two hundred sixty-four million, two hundred seventy-two thousand, thirty-one".

Divisors: 1 13 23 299 1103 14339 25369 31123 329797 404599 715829 9305777 34328669 446272697 789559387 10264272031