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313312132032 = 2639291756549
BaseRepresentation
bin1001000111100101101…
…10111011101111000000
31002221201021001101212020
410203302312323233000
520113130401211112
6355533354201440
731431111116034
oct4436266735700
91087637041766
10313312132032
11110969592109
125087b723280
1323711a88503
141124311c1c4
15823b21948c
hex48f2dbbbc0

313312132032 has 56 divisors (see below), whose sum is σ = 829864482000. Its totient is φ = 104324898816.

The previous prime is 313312132027. The next prime is 313312132037. The reversal of 313312132032 is 230231213313.

It is an interprime number because it is at equal distance from previous prime (313312132027) and next prime (313312132037).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 313312131993 and 313312132011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313312132037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699907 + ... + 1056642.

Almost surely, 2313312132032 is an apocalyptic number.

313312132032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

313312132032 is an abundant number, since it is smaller than the sum of its proper divisors (516552349968).

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

313312132032 is a wasteful number, since it uses less digits than its factorization.

313312132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757493 (or 1757483 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 313312132032 its reverse (230231213313), we get a palindrome (543543345345).

The spelling of 313312132032 in words is "three hundred thirteen billion, three hundred twelve million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 929 1858 2787 3716 5574 7432 11148 14864 22296 29728 44592 59456 89184 178368 1756549 3513098 5269647 7026196 10539294 14052392 21078588 28104784 42157176 56209568 84314352 112419136 168628704 337257408 1631834021 3263668042 4895502063 6527336084 9791004126 13054672168 19582008252 26109344336 39164016504 52218688672 78328033008 104437377344 156656066016 313312132032