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12232311013 = 1353157113081
BaseRepresentation
bin10110110010001101…
…00100000011100101
31011120111020210011001
423121012210003211
5200022432423023
65341444513301
7612061633216
oct133106440345
934514223131
1012232311013
11520790334a
1224546ab831
1311cc322970
1484081140d
154b8d5d6ad
hex2d91a40e5

12232311013 has 16 divisors (see below), whose sum is σ = 13507418736. Its totient is φ = 11007659520.

The previous prime is 12232311011. The next prime is 12232311043. The reversal of 12232311013 is 31011323221.

It can be written as a sum of positive squares in 8 ways, for example, as 251476164 + 11980834849 = 15858^2 + 109457^2 .

It is not a de Polignac number, because 12232311013 - 21 = 12232311011 is a prime.

It is a super-2 number, since 2×122323110132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12232311011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51633 + ... + 164713.

It is an arithmetic number, because the mean of its divisors is an integer number (844213671).

Almost surely, 212232311013 is an apocalyptic number.

12232311013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12232311013 is a deficient number, since it is larger than the sum of its proper divisors (1275107723).

12232311013 is a wasteful number, since it uses less digits than its factorization.

12232311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113304.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12232311013 its reverse (31011323221), we get a palindrome (43243634234).

The spelling of 12232311013 in words is "twelve billion, two hundred thirty-two million, three hundred eleven thousand, thirteen".

Divisors: 1 13 53 157 689 2041 8321 108173 113081 1470053 5993293 17753717 77912809 230798321 940947001 12232311013