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1312113230032 = 24112677744437
BaseRepresentation
bin10011000110000000000…
…010110000000011010000
311122102210102112021222111
4103012000002300003100
5132444201441330112
62442435420115104
7163540250302003
oct23060002600320
94572712467874
101312113230032
11466511791200
12192368095a94
1396968855587
144771423d53a
15241e75b05a7
hex131800b00d0

1312113230032 has 30 divisors (see below), whose sum is σ = 2794340317874. Its totient is φ = 596415103680.

The previous prime is 1312113230003. The next prime is 1312113230033. The reversal of 1312113230032 is 2300323112131.

It can be written as a sum of positive squares in only one way, i.e., 1275327524416 + 36785705616 = 1129304^2 + 191796^2 .

It is a super-2 number, since 2×13121132300322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1312113229985 and 1312113230012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312113230033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 338870283 + ... + 338874154.

Almost surely, 21312113230032 is an apocalyptic number.

It is an amenable number.

1312113230032 is an abundant number, since it is smaller than the sum of its proper divisors (1482227087842).

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

1312113230032 is a wasteful number, since it uses less digits than its factorization.

1312113230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677744467 (or 677744450 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1312113230032 its reverse (2300323112131), we get a palindrome (3612436342163).

The spelling of 1312113230032 in words is "one trillion, three hundred twelve billion, one hundred thirteen million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 677744437 1355488874 2710977748 5421955496 7455188807 10843910992 14910377614 29820755228 59641510456 82007076877 119283020912 164014153754 328028307508 656056615016 1312113230032