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10400131203 = 371145022213
BaseRepresentation
bin10011010111110010…
…10110100010000011
3222211210200101221120
421223321112202003
5132244413144303
64435554523323
7515503441140
oct115371264203
928753611846
1010400131203
11445766a560
122022b96543
13c998766b7
1470935d3c7
1540d09a553
hex26be56883

10400131203 has 16 divisors (see below), whose sum is σ = 17288530176. Its totient is φ = 5402665440.

The previous prime is 10400131187. The next prime is 10400131211. The reversal of 10400131203 is 30213100401.

10400131203 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 10400131203 - 24 = 10400131187 is a prime.

It is a super-2 number, since 2×104001312032 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10400131103) 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, 22510876 + ... + 22511337.

It is an arithmetic number, because the mean of its divisors is an integer number (1080533136).

Almost surely, 210400131203 is an apocalyptic number.

10400131203 is a deficient number, since it is larger than the sum of its proper divisors (6888398973).

10400131203 is a wasteful number, since it uses less digits than its factorization.

10400131203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45022234.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10400131203 its reverse (30213100401), we get a palindrome (40613231604).

The spelling of 10400131203 in words is "ten billion, four hundred million, one hundred thirty-one thousand, two hundred three".

Divisors: 1 3 7 11 21 33 77 231 45022213 135066639 315155491 495244343 945466473 1485733029 3466710401 10400131203