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312132131223400 = 23521560660656117
BaseRepresentation
bin100011011111000011110110…
…0110011011111011101101000
31111221011112120220020022011101
41012332013230303133131220
5311402433101043122100
63023503304353011144
7122513542121406205
oct10676075463373550
91457145526208141
10312132131223400
1190500547898104
122b01136b253ab4
1310521c1a399b57
1457113c0976cac
15261441677686a
hex11be1eccdf768

312132131223400 has 24 divisors (see below), whose sum is σ = 725707205094870. Its totient is φ = 124852852489280.

The previous prime is 312132131223397. The next prime is 312132131223401. The reversal of 312132131223400 is 4322131231213.

It can be written as a sum of positive squares in 3 ways, for example, as 228576480612516 + 83555650610884 = 15118746^2 + 9140878^2 .

It is not an unprimeable number, because it can be changed into a prime (312132131223401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 780330327859 + ... + 780330328258.

Almost surely, 2312132131223400 is an apocalyptic number.

It is an amenable number.

312132131223400 is an abundant number, since it is smaller than the sum of its proper divisors (413575073871470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312132131223400 is a wasteful number, since it uses less digits than its factorization.

312132131223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560660656133 (or 1560660656124 counting only the distinct ones).

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

Adding to 312132131223400 its reverse (4322131231213), we get a palindrome (316454262454613).

The spelling of 312132131223400 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred thirty-one million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1560660656117 3121321312234 6242642624468 7803303280585 12485285248936 15606606561170 31213213122340 39016516402925 62426426244680 78033032805850 156066065611700 312132131223400