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312314000301 = 32311119405019
BaseRepresentation
bin1001000101101110101…
…11010111001110101101
31002212010200220001112100
410202313113113032231
520104104341002201
6355250340525313
731364301126012
oct4426727271655
91085120801470
10312314000301
111104a7124a56
12506413b0839
13235b3053814
141118a739709
1581cd7a6886
hex48b75d73ad

312314000301 has 12 divisors (see below), whose sum is σ = 465672488320. Its totient is φ = 201492903240.

The previous prime is 312314000293. The next prime is 312314000303. The reversal of 312314000301 is 103000413213.

312314000301 is a `hidden beast` number, since 3 + 1 + 231 + 400 + 0 + 30 + 1 = 666.

It is not a de Polignac number, because 312314000301 - 23 = 312314000293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312314000303) 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 11 ways as a sum of consecutive naturals, for example, 559702231 + ... + 559702788.

Almost surely, 2312314000301 is an apocalyptic number.

312314000301 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312314000301 is a deficient number, since it is larger than the sum of its proper divisors (153358488019).

312314000301 is a wasteful number, since it uses less digits than its factorization.

312314000301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119405056 (or 1119405053 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 312314000301 its reverse (103000413213), we get a palindrome (415314413514).

The spelling of 312314000301 in words is "three hundred twelve billion, three hundred fourteen million, three hundred one", and thus it is an aban number.

Divisors: 1 3 9 31 93 279 1119405019 3358215057 10074645171 34701555589 104104666767 312314000301