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312031313319 = 311193491425953
BaseRepresentation
bin1001000101001101000…
…00111111110110100111
31002211101222222001220010
410202212200333312213
520103020004011234
6355202321541303
731354266254505
oct4424640776647
91084358861803
10312031313319
111103715a6050
12505827a4833
132356960810b
1411160d91675
1581b3a676e9
hex48a683fda7

312031313319 has 32 divisors (see below), whose sum is σ = 479120544000. Its totient is φ = 178643266560.

The previous prime is 312031313303. The next prime is 312031313323. The reversal of 312031313319 is 913313130213.

It is not a de Polignac number, because 312031313319 - 24 = 312031313303 is a prime.

It is a super-2 number, since 2×3120313133192 (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 (312021313319) 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, 494154 + ... + 931799.

It is an arithmetic number, because the mean of its divisors is an integer number (14972517000).

Almost surely, 2312031313319 is an apocalyptic number.

312031313319 is a deficient number, since it is larger than the sum of its proper divisors (167089230681).

312031313319 is a wasteful number, since it uses less digits than its factorization.

312031313319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426335.

The product of its (nonzero) digits is 4374, while the sum is 30.

The spelling of 312031313319 in words is "three hundred twelve billion, thirty-one million, three hundred thirteen thousand, three hundred nineteen".

Divisors: 1 3 11 19 33 57 209 349 627 1047 3839 6631 11517 19893 72941 218823 1425953 4277859 15685483 27093107 47056449 81279321 298024177 497657597 894072531 1492972791 5474233567 9455494343 16422700701 28366483029 104010437773 312031313319