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312131211301 = 7135399363527
BaseRepresentation
bin1001000101011000111…
…10000101000000100101
31002211122221221102011101
410202230132011000211
520103221042230201
6355220251040101
731356621343330
oct4425436050045
91084587842141
10312131211301
11110412a27968
12505b0140031
1323584214350
1411170357617
1581bc6ebd01
hex48ac785025

312131211301 has 16 divisors (see below), whose sum is σ = 384174653184. Its totient is φ = 246952497024.

The previous prime is 312131211299. The next prime is 312131211311. The reversal of 312131211301 is 103112131213.

It is a cyclic number.

It is not a de Polignac number, because 312131211301 - 21 = 312131211299 is a prime.

It is a super-2 number, since 2×3121312113012 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312131211311) 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, 4881600 + ... + 4945126.

It is an arithmetic number, because the mean of its divisors is an integer number (24010915824).

Almost surely, 2312131211301 is an apocalyptic number.

It is an amenable number.

312131211301 is a deficient number, since it is larger than the sum of its proper divisors (72043441883).

312131211301 is a wasteful number, since it uses less digits than its factorization.

312131211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117540.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 312131211301 its reverse (103112131213), we get a palindrome (415243342514).

The spelling of 312131211301 in words is "three hundred twelve billion, one hundred thirty-one million, two hundred eleven thousand, three hundred one".

Divisors: 1 7 13 91 53993 63527 377951 444689 701909 825851 4913363 5780957 3430013311 24010093177 44590173043 312131211301