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10327590251 = 116316612251
BaseRepresentation
bin10011001111001001…
…01000010101101011
3222122202011221110122
421213210220111223
5132122330342001
64424444033455
7513633032366
oct114744502553
928582157418
1010327590251
11441a723460
12200283288b
13c87828464
146dd8790dd
15406a1bb1b
hex26792856b

10327590251 has 16 divisors (see below), whose sum is σ = 11306409216. Its totient is φ = 9355500000.

The previous prime is 10327590241. The next prime is 10327590283. The reversal of 10327590251 is 15209572301.

10327590251 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 10327590251 - 222 = 10323395947 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10327590211) 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, 4586876 + ... + 4589126.

It is an arithmetic number, because the mean of its divisors is an integer number (706650576).

Almost surely, 210327590251 is an apocalyptic number.

10327590251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10327590251 is a deficient number, since it is larger than the sum of its proper divisors (978818965).

10327590251 is a wasteful number, since it uses less digits than its factorization.

10327590251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554.

The product of its (nonzero) digits is 18900, while the sum is 35.

The spelling of 10327590251 in words is "ten billion, three hundred twenty-seven million, five hundred ninety thousand, two hundred fifty-one".

Divisors: 1 11 631 661 2251 6941 7271 24761 417091 1420381 1487911 4588001 15624191 16367021 938871841 10327590251