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12400234131 = 337791579007
BaseRepresentation
bin10111000110001110…
…01000111010010011
31012000012020011100210
423203013020322103
5200343424443011
65410244015203
7616201152045
oct134307107223
935005204323
1012400234131
11529367748a
1224a0991503
13122805885c
14858c43a95
154c897d6a6
hex2e31c8e93

12400234131 has 32 divisors (see below), whose sum is σ = 17306890240. Its totient is φ = 7890120576.

The previous prime is 12400234127. The next prime is 12400234181. The reversal of 12400234131 is 13143200421.

12400234131 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 12400234131 - 22 = 12400234127 is a prime.

It is a super-2 number, since 2×124002341312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12400234098 and 12400234107.

It is not an unprimeable number, because it can be changed into a prime (12400234181) 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 31 ways as a sum of consecutive naturals, for example, 1372230 + ... + 1381236.

It is an arithmetic number, because the mean of its divisors is an integer number (540840320).

Almost surely, 212400234131 is an apocalyptic number.

12400234131 is a deficient number, since it is larger than the sum of its proper divisors (4906656109).

12400234131 is a wasteful number, since it uses less digits than its factorization.

12400234131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12400234131 its reverse (13143200421), we get a palindrome (25543434552).

The spelling of 12400234131 in words is "twelve billion, four hundred million, two hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 37 79 111 157 237 471 2923 5809 8769 9007 12403 17427 27021 37209 333259 458911 711553 999777 1376733 1414099 2134659 4242297 26327461 52321663 78982383 111713821 156964989 335141463 4133411377 12400234131