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312313132000 = 255378078283
BaseRepresentation
bin1001000101101110101…
…00000011001111100000
31002212010122020221110001
410202313110003033200
520104104130211000
6355250310145344
731364260551352
oct4426724031740
91085118227401
10312313132000
111104a6691651
1250641052254
13235b2b0b52c
141118a5910d2
1581cd68446a
hex48b75033e0

312313132000 has 48 divisors (see below), whose sum is σ = 767353375152. Its totient is φ = 124925251200.

The previous prime is 312313131979. The next prime is 312313132007. The reversal of 312313132000 is 231313213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312313132007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39035142 + ... + 39043141.

It is an arithmetic number, because the mean of its divisors is an integer number (15986528649).

Almost surely, 2312313132000 is an apocalyptic number.

It is an amenable number.

312313132000 is an abundant number, since it is smaller than the sum of its proper divisors (455040243152).

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

312313132000 is an equidigital number, since it uses as much as digits as its factorization.

312313132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78078308 (or 78078290 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 312313132000 its reverse (231313213), we get a palindrome (312544445213).

The spelling of 312313132000 in words is "three hundred twelve billion, three hundred thirteen million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 78078283 156156566 312313132 390391415 624626264 780782830 1249252528 1561565660 1951957075 2498505056 3123131320 3903914150 6246262640 7807828300 9759785375 12492525280 15615656600 19519570750 31231313200 39039141500 62462626400 78078283000 156156566000 312313132000