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312131414233331 = 71115315126468353
BaseRepresentation
bin100011011111000011100001…
…0000100011001000011110011
31111221011110201221002102200122
41012332013002010121003303
5311402430114020431311
63023503105301240455
7122513515264163150
oct10676070204310363
91457143657072618
10312131414233331
119050020a0a3930
122b0111ab10312b
1310521b3498c384
145711353659227
1526143c384a0db
hex11be1c21190f3

312131414233331 has 16 divisors (see below), whose sum is σ = 389153409773568. Its totient is φ = 243217686528000.

The previous prime is 312131414233297. The next prime is 312131414233333. The reversal of 312131414233331 is 133332414131213.

It is a cyclic number.

It is not a de Polignac number, because 312131414233331 - 210 = 312131414232307 is a prime.

It is a super-2 number, since 2×3121314142333312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312131414233291 and 312131414233300.

It is not an unprimeable number, because it can be changed into a prime (312131414233333) 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, 1441550 + ... + 25026803.

It is an arithmetic number, because the mean of its divisors is an integer number (24322088110848).

Almost surely, 2312131414233331 is an apocalyptic number.

312131414233331 is a deficient number, since it is larger than the sum of its proper divisors (77021995540237).

312131414233331 is a wasteful number, since it uses less digits than its factorization.

312131414233331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26621522.

The product of its digits is 46656, while the sum is 35.

Adding to 312131414233331 its reverse (133332414131213), we get a palindrome (445463828364544).

The spelling of 312131414233331 in words is "three hundred twelve trillion, one hundred thirty-one billion, four hundred fourteen million, two hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 7 11 77 153151 1072057 1684661 11792627 26468353 185278471 291151883 2038063181 4053654730303 28375583112121 44590202033333 312131414233331