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312323012032 = 2631409338461
BaseRepresentation
bin1001000101101111110…
…01101111010111000000
31002212011022211220022011
410202313321233113000
520104114142341112
6355251302022304
731364440541203
oct4426771572700
91085138756264
10312323012032
1111050121a669
1250644417994
13235b4b8a5c5
141118ba0393a
1581ce486aa7
hex48b7e6f5c0

312323012032 has 56 divisors (see below), whose sum is σ = 639931371392. Its totient is φ = 151083187200.

The previous prime is 312323012017. The next prime is 312323012041. The reversal of 312323012032 is 230210323213.

It is a junction number, because it is equal to n+sod(n) for n = 312323011994 and 312323012012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8101282 + ... + 8139742.

Almost surely, 2312323012032 is an apocalyptic number.

312323012032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312323012032 is an abundant number, since it is smaller than the sum of its proper divisors (327608359360).

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

312323012032 is a wasteful number, since it uses less digits than its factorization.

312323012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42597 (or 42587 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 312323012032 its reverse (230210323213), we get a palindrome (542533335245).

The spelling of 312323012032 in words is "three hundred twelve billion, three hundred twenty-three million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 4093 8186 16372 32744 38461 65488 76922 126883 130976 153844 253766 261952 307688 507532 615376 1015064 1192291 1230752 2030128 2384582 2461504 4060256 4769164 8120512 9538328 19076656 38153312 76306624 157420873 314841746 629683492 1259366984 2518733968 4880047063 5037467936 9760094126 10074935872 19520188252 39040376504 78080753008 156161506016 312323012032