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312412214213 = 11163191912251
BaseRepresentation
bin1001000101111010011…
…10000001001111000101
31002212101112200211200122
410202331032001033011
520104310011323323
6355304205551325
731366603001651
oct4427516011705
91085345624618
10312412214213
11110547606580
125066a275545
13235ca4c0368
14111997c3a61
1581d7206ec8
hex48bd3813c5

312412214213 has 16 divisors (see below), whose sum is σ = 344699891712. Its totient is φ = 280790550000.

The previous prime is 312412214197. The next prime is 312412214221.

It is a happy number.

312412214213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312412214213 - 24 = 312412214197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312412234213) 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, 113663 + ... + 798588.

It is an arithmetic number, because the mean of its divisors is an integer number (21543743232).

Almost surely, 2312412214213 is an apocalyptic number.

It is an amenable number.

312412214213 is a deficient number, since it is larger than the sum of its proper divisors (32287677499).

312412214213 is a wasteful number, since it uses less digits than its factorization.

312412214213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912616.

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 312412 and 214213, that added together give a palindrome (526625).

The spelling of 312412214213 in words is "three hundred twelve billion, four hundred twelve million, two hundred fourteen thousand, two hundred thirteen".

Divisors: 1 11 163 191 1793 2101 31133 342463 912251 10034761 148696913 174239941 1635666043 1916639351 28401110383 312412214213