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312411114213 = 31163971479913
BaseRepresentation
bin1001000101111010010…
…01110100101011100101
31002212101110121221202220
410202331021310223211
520104304221123323
6355304130222553
731366560440652
oct4427511645345
91085343557686
10312411114213
11110546a25090
1250669a24a59
13235ca1c6783
14111995b8c29
1581d708b0e3
hex48bd274ae5

312411114213 has 16 divisors (see below), whose sum is σ = 454487509056. Its totient is φ = 189310343040.

The previous prime is 312411114209. The next prime is 312411114259.

312411114213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312411114213 - 22 = 312411114209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312411114203) 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, 528856 + ... + 951057.

It is an arithmetic number, because the mean of its divisors is an integer number (28405469316).

Almost surely, 2312411114213 is an apocalyptic number.

312411114213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312411114213 is a deficient number, since it is larger than the sum of its proper divisors (142076394843).

312411114213 is a wasteful number, since it uses less digits than its factorization.

312411114213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486324.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 312411 and 114213, that added together give a palindrome (426624).

The spelling of 312411114213 in words is "three hundred twelve billion, four hundred eleven million, one hundred fourteen thousand, two hundred thirteen".

Divisors: 1 3 11 33 6397 19191 70367 211101 1479913 4439739 16279043 48837129 9467003461 28401010383 104137038071 312411114213