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312132202231213 = 71322231183174957
BaseRepresentation
bin100011011111000011111000…
…1000010010111010110101101
31111221011112202211211212120101
41012332013301002113112231
5311402433222232344323
63023503315410551101
7122513543643101110
oct10676076102272655
91457145684755511
10312132202231213
1190500583987351
122b01138ab98491
1310521c2bccc300
1457113ca17c577
15261441cb00dad
hex11be1f10975ad

312132202231213 has 24 divisors (see below), whose sum is σ = 388005663026688. Its totient is φ = 245854290457152.

The previous prime is 312132202231103. The next prime is 312132202231249.

312132202231213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312132202231213 - 217 = 312132202100141 is a prime.

It is a super-2 number, since 2×3121322022312132 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312132202231013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591323670 + ... + 591851287.

It is an arithmetic number, because the mean of its divisors is an integer number (16166902626112).

Almost surely, 2312132202231213 is an apocalyptic number.

It is an amenable number.

312132202231213 is a deficient number, since it is larger than the sum of its proper divisors (75873460795475).

312132202231213 is a wasteful number, since it uses less digits than its factorization.

312132202231213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183175213 (or 1183175200 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 31213220 and 2231213, that added together give a palindrome (33444433).

The spelling of 312132202231213 in words is "three hundred twelve trillion, one hundred thirty-two billion, two hundred two million, two hundred thirty-one thousand, two hundred thirteen".

Divisors: 1 7 13 91 169 223 1183 1561 2899 20293 37687 263809 1183174957 8282224699 15381274441 107668921087 199956567733 263848015411 1399695974131 1846936107877 3430024200343 24010169402401 44590314604459 312132202231213