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312131302320 = 24351968449847
BaseRepresentation
bin1001000101011000111…
…10011011001110110000
31002211122222010001000110
410202230132123032300
520103221103133240
6355220253021320
731356622202565
oct4425436331660
91084588101013
10312131302320
11110412a8a292
12505b0184840
13235842468c6
141117037c86c
1581bc718c80
hex48ac79b3b0

312131302320 has 80 divisors (see below), whose sum is σ = 1018533738240. Its totient is φ = 78854222592.

The previous prime is 312131302309. The next prime is 312131302361. The reversal of 312131302320 is 23203131213.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34220364 + ... + 34229483.

It is an arithmetic number, because the mean of its divisors is an integer number (12731671728).

Almost surely, 2312131302320 is an apocalyptic number.

312131302320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312131302320 is an abundant number, since it is smaller than the sum of its proper divisors (706402435920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312131302320 is a wasteful number, since it uses less digits than its factorization.

312131302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68449882 (or 68449876 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312131302320 its reverse (23203131213), we get a palindrome (335334433533).

The spelling of 312131302320 in words is "three hundred twelve billion, one hundred thirty-one million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 68449847 136899694 205349541 273799388 342249235 410699082 547598776 684498470 821398164 1026747705 1095197552 1300547093 1368996940 1642796328 2053495410 2601094186 2737993880 3285592656 3901641279 4106990820 5202188372 5475987760 6502735465 7803282558 8213981640 10404376744 13005470930 15606565116 16427963280 19508206395 20808753488 26010941860 31213130232 39016412790 52021883720 62426260464 78032825580 104043767440 156065651160 312131302320