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312113242311213 = 37115777128372089
BaseRepresentation
bin100011011110111011000011…
…0111100000000101000101101
31111221002201211111102010212010
41012331312012330000220231
5311402130410012424323
63023450502154031433
7122512303050325320
oct10675660674005055
91457081744363763
10312113242311213
11904a3534566882
122b009779418579
13105201c9c55935
14571050c0787b7
152613bad331c93
hex11bdd86f00a2d

312113242311213 has 16 divisors (see below), whose sum is σ = 475605242752640. Its totient is φ = 178348882323456.

The previous prime is 312113242311179. The next prime is 312113242311251.

312113242311213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312113242311213 - 212 = 312113242307117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312113242311253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61754728 + ... + 66617361.

It is an arithmetic number, because the mean of its divisors is an integer number (29725327672040).

Almost surely, 2312113242311213 is an apocalyptic number.

It is an amenable number.

312113242311213 is a deficient number, since it is larger than the sum of its proper divisors (163492000441427).

312113242311213 is a wasteful number, since it uses less digits than its factorization.

312113242311213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128487876.

The product of its digits is 5184, while the sum is 30.

The spelling of 312113242311213 in words is "three hundred twelve trillion, one hundred thirteen billion, two hundred forty-two million, three hundred eleven thousand, two hundred thirteen".

Divisors: 1 3 7 21 115777 347331 810439 2431317 128372089 385116267 898604623 2695813869 14862535348153 44587606044459 104037747437071 312113242311213