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10400133313 = 83125302811
BaseRepresentation
bin10011010111110010…
…10111000011000001
3222211210200111211201
421223321113003001
5132244413231223
64435554541201
7515503450243
oct115371270301
928753614751
1010400133313
1144576710a9
122022b97801
13c9987764b
14709360093
1540d09aead
hex26be570c1

10400133313 has 4 divisors (see below), whose sum is σ = 10525436208. Its totient is φ = 10274830420.

The previous prime is 10400133283. The next prime is 10400133347. The reversal of 10400133313 is 31333100401.

10400133313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10400133313 - 213 = 10400125121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10400133013) 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 3 ways as a sum of consecutive naturals, for example, 62651323 + ... + 62651488.

It is an arithmetic number, because the mean of its divisors is an integer number (2631359052).

Almost surely, 210400133313 is an apocalyptic number.

It is an amenable number.

10400133313 is a deficient number, since it is larger than the sum of its proper divisors (125302895).

10400133313 is an equidigital number, since it uses as much as digits as its factorization.

10400133313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125302894.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10400133313 its reverse (31333100401), we get a palindrome (41733233714).

The spelling of 10400133313 in words is "ten billion, four hundred million, one hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 83 125302811 10400133313