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12323312111313 = 3272238111736253
BaseRepresentation
bin1011001101010011111010…
…1001000000111011010001
31121122002121210212002100200
42303110332221000323101
53103401120400030223
642113130150405413
72411221106426100
oct263247651007321
947562553762320
1012323312111313
113a213184673a5
121470410360869
136b5111158ca8
14308646c56037
15165856ee1a43
hexb353ea40ed1

12323312111313 has 36 divisors (see below), whose sum is σ = 20715215957748. Its totient is φ = 7038934499520.

The previous prime is 12323312111267. The next prime is 12323312111323. The reversal of 12323312111313 is 31311121332321.

12323312111313 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 331 + 2 + 1 + 11 + 313 = 666.

12323312111313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3400527778704 + 8922784332609 = 1844052^2 + 2987103^2 .

It is not a de Polignac number, because 12323312111313 - 221 = 12323310014161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12323312111323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4818106 + ... + 6918147.

It is an arithmetic number, because the mean of its divisors is an integer number (575422665493).

Almost surely, 212323312111313 is an apocalyptic number.

It is an amenable number.

12323312111313 is a deficient number, since it is larger than the sum of its proper divisors (8391903846435).

12323312111313 is a wasteful number, since it uses less digits than its factorization.

12323312111313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11738654 (or 11738644 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 12323312111313 its reverse (31311121332321), we get a palindrome (43634433443634).

The spelling of 12323312111313 in words is "twelve trillion, three hundred twenty-three billion, three hundred twelve million, one hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 49 63 147 441 2381 7143 16667 21429 50001 116669 150003 350007 1050021 11736253 35208759 82153771 105626277 246461313 575076397 739383939 1725229191 5175687573 27944018393 83832055179 195608128751 251496165537 586824386253 1369256901257 1760473158759 4107770703771 12323312111313