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313312131993 = 3743400386677
BaseRepresentation
bin1001000111100101101…
…10111011101110011001
31002221201021001101210210
410203302312323232121
520113130401210433
6355533354201333
731431111115650
oct4436266735631
91087637041723
10313312131993
11110969592083
125087b723249
1323711a884a3
141124311c197
15823b219463
hex48f2dbbb99

313312131993 has 32 divisors (see below), whose sum is σ = 488658666496. Its totient is φ = 174826185408.

The previous prime is 313312131911. The next prime is 313312132013. The reversal of 313312131993 is 399131213313.

It is not a de Polignac number, because 313312131993 - 217 = 313312000921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313312131193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3571371 + ... + 3658047.

It is an arithmetic number, because the mean of its divisors is an integer number (15270583328).

Almost surely, 2313312131993 is an apocalyptic number.

It is an amenable number.

313312131993 is a deficient number, since it is larger than the sum of its proper divisors (175346534503).

313312131993 is a wasteful number, since it uses less digits than its factorization.

313312131993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90733.

The product of its digits is 39366, while the sum is 39.

The spelling of 313312131993 in words is "three hundred thirteen billion, three hundred twelve million, one hundred thirty-one thousand, nine hundred ninety-three".

Divisors: 1 3 7 21 43 129 301 903 4003 12009 28021 84063 86677 172129 260031 516387 606739 1204903 1820217 3614709 3727111 11181333 26089777 78269331 346968031 1040904093 2428776217 7286328651 14919625333 44758875999 104437377331 313312131993