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12410233131 = 331577231271
BaseRepresentation
bin10111000111011010…
…10010000100101011
31012000220001011102010
423203231102010223
5200404004430011
65411242211003
7616352145462
oct134355220453
935026034363
1012410233131
11529928691a
1224a41b3a63
13122a149b1a
1485a2c79d9
154c97a61a6
hex2e3b5212b

12410233131 has 16 divisors (see below), whose sum is σ = 17110427648. Its totient is φ = 7992691200.

The previous prime is 12410233127. The next prime is 12410233163. The reversal of 12410233131 is 13133201421.

12410233131 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 12410233131 - 22 = 12410233127 is a prime.

It is a super-2 number, since 2×124102331312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12410233098 and 12410233107.

It is not an unprimeable number, because it can be changed into a prime (12410233531) 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, 61975 + ... + 169296.

It is an arithmetic number, because the mean of its divisors is an integer number (1069401728).

Almost surely, 212410233131 is an apocalyptic number.

12410233131 is a deficient number, since it is larger than the sum of its proper divisors (4700194517).

12410233131 is a wasteful number, since it uses less digits than its factorization.

12410233131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231882.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12410233131 its reverse (13133201421), we get a palindrome (25543434552).

The spelling of 12410233131 in words is "twelve billion, four hundred ten million, two hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 31 93 577 1731 17887 53661 231271 693813 7169401 21508203 133443367 400330101 4136744377 12410233131