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312330312107 = 11827103133301
BaseRepresentation
bin1001000101110000101…
…01100101100110101011
31002212011211120210010022
410202320111211212223
520104123024441412
6355252122311055
731364556564212
oct4427025454653
91085154523108
10312330312107
11110505356290
125064695848b
13235b6545288
141118c984079
1581cee29a72
hex48b85659ab

312330312107 has 16 divisors (see below), whose sum is σ = 341477109504. Its totient is φ = 283309740000.

The previous prime is 312330312071. The next prime is 312330312109. The reversal of 312330312107 is 701213033213.

It is a cyclic number.

It is not a de Polignac number, because 312330312107 - 212 = 312330308011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312330312109) 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 15 ways as a sum of consecutive naturals, for example, 9362357 + ... + 9395657.

It is an arithmetic number, because the mean of its divisors is an integer number (21342319344).

Almost surely, 2312330312107 is an apocalyptic number.

312330312107 is a deficient number, since it is larger than the sum of its proper divisors (29146797397).

312330312107 is a wasteful number, since it uses less digits than its factorization.

312330312107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35170.

The product of its (nonzero) digits is 2268, while the sum is 26.

The spelling of 312330312107 in words is "three hundred twelve billion, three hundred thirty million, three hundred twelve thousand, one hundred seven".

Divisors: 1 11 827 1031 9097 11341 33301 366311 852637 9379007 27539927 34333331 302939197 377666641 28393664737 312330312107