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312486684213 = 31143552139887
BaseRepresentation
bin1001000110000011010…
…10000110011000110101
31002212120201211022022210
410203001222012120311
520104433042343323
6355315430044033
731401465663444
oct4430152063065
91085521738283
10312486684213
1111058564aa30
125068b1a9619
132360ca65652
14111a564ad5b
1581dda17293
hex48c1a86635

312486684213 has 32 divisors (see below), whose sum is σ = 465192364032. Its totient is φ = 184943404800.

The previous prime is 312486684193. The next prime is 312486684221.

312486684213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312486684213 - 26 = 312486684149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312486684233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7814356 + ... + 7854242.

It is an arithmetic number, because the mean of its divisors is an integer number (14537261376).

Almost surely, 2312486684213 is an apocalyptic number.

312486684213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312486684213 is a deficient number, since it is larger than the sum of its proper divisors (152705679819).

312486684213 is a wasteful number, since it uses less digits than its factorization.

312486684213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45465.

The product of its digits is 1327104, while the sum is 48.

It can be divided in two parts, 312486 and 684213, that added together give a palindrome (996699).

The spelling of 312486684213 in words is "three hundred twelve billion, four hundred eighty-six million, six hundred eighty-four thousand, two hundred thirteen".

Divisors: 1 3 11 33 43 129 473 1419 5521 16563 39887 60731 119661 182193 237403 438757 712209 1316271 1715141 2611433 5145423 7834299 18866551 56599653 220216127 660648381 2422377397 7267132191 9469293461 28407880383 104162228071 312486684213