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312225014007 = 32231508333401
BaseRepresentation
bin1001000101100100000…
…11111010000011110111
31002211220111110002021200
410202302003322003313
520103414100422012
6355233441343543
731362140554524
oct4426203720367
91084814402250
10312225014007
11110460976265
1250617637bb3
132359a7980ca
141117c9b414b
1581c5a7a3dc
hex48b20fa0f7

312225014007 has 12 divisors (see below), whose sum is σ = 470600021424. Its totient is φ = 199100008800.

The previous prime is 312225013999. The next prime is 312225014081. The reversal of 312225014007 is 700410522213.

312225014007 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 250 + 1 + 400 + 7 = 666.

It is not a de Polignac number, because 312225014007 - 23 = 312225013999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312225054007) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 754166494 + ... + 754166907.

It is an arithmetic number, because the mean of its divisors is an integer number (39216668452).

Almost surely, 2312225014007 is an apocalyptic number.

312225014007 is a deficient number, since it is larger than the sum of its proper divisors (158375007417).

312225014007 is a wasteful number, since it uses less digits than its factorization.

312225014007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508333430 (or 1508333427 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 312225014007 in words is "three hundred twelve billion, two hundred twenty-five million, fourteen thousand, seven".

Divisors: 1 3 9 23 69 207 1508333401 4525000203 13575000609 34691668223 104075004669 312225014007