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312113021320 = 23573891200989
BaseRepresentation
bin1001000101010110110…
…00101100000110001000
31002211121200201021012101
410202223120230012020
520103201413140240
6355214401123144
731356310623322
oct4425330540610
91084550637171
10312113021320
11110403733521
12505a60294b4
1323580515a49
141116bb80612
1581bad0739a
hex48ab62c188

312113021320 has 64 divisors (see below), whose sum is σ = 719873406000. Its totient is φ = 121751359488.

The previous prime is 312113021309. The next prime is 312113021357. The reversal of 312113021320 is 23120311213.

It can be written as a sum of positive squares in 8 ways, for example, as 143469743076 + 168643278244 = 378774^2 + 410662^2 .

It is a super-3 number, since 3×3121130213203 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340615 + ... + 860374.

Almost surely, 2312113021320 is an apocalyptic number.

It is an amenable number.

312113021320 is an abundant number, since it is smaller than the sum of its proper divisors (407760384680).

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

312113021320 is a wasteful number, since it uses less digits than its factorization.

312113021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201162 (or 1201158 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 312113021320 its reverse (23120311213), we get a palindrome (335233332533).

The spelling of 312113021320 in words is "three hundred twelve billion, one hundred thirteen million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 89 146 178 292 356 365 445 584 712 730 890 1460 1780 2920 3560 6497 12994 25988 32485 51976 64970 129940 259880 1200989 2401978 4803956 6004945 9607912 12009890 24019780 48039560 87672197 106888021 175344394 213776042 350688788 427552084 438360985 534440105 701377576 855104168 876721970 1068880210 1753443940 2137760420 3506887880 4275520840 7802825533 15605651066 31211302132 39014127665 62422604264 78028255330 156056510660 312113021320