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1321312105032 = 23355054671043
BaseRepresentation
bin10011001110100100010…
…101101011001001001000
311200022112111211120012120
4103032210111223021020
5133122021344330112
62451000304011240
7164314226403363
oct23164425531110
94608474746176
101321312105032
1146a402267137
121940b4900b20
13977a3587a8a
1447d47c230da
1524584e72e8c
hex133a456b248

1321312105032 has 16 divisors (see below), whose sum is σ = 3303280262640. Its totient is φ = 440437368336.

The previous prime is 1321312105031. The next prime is 1321312105067. The reversal of 1321312105032 is 2305012131231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 55054671043 = 1321312105032 / (1 + 3 + 2 + 1 + 3 + 1 + 2 + 1 + 0 + 5 + 0 + 3 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 1321312104993 and 1321312105011.

It is not an unprimeable number, because it can be changed into a prime (1321312105031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27527335498 + ... + 27527335545.

It is an arithmetic number, because the mean of its divisors is an integer number (206455016415).

Almost surely, 21321312105032 is an apocalyptic number.

1321312105032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1321312105032 is an abundant number, since it is smaller than the sum of its proper divisors (1981968157608).

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

1321312105032 is a wasteful number, since it uses less digits than its factorization.

1321312105032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55054671052 (or 55054671048 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 1321312105032 its reverse (2305012131231), we get a palindrome (3626324236263).

The spelling of 1321312105032 in words is "one trillion, three hundred twenty-one billion, three hundred twelve million, one hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 55054671043 110109342086 165164013129 220218684172 330328026258 440437368344 660656052516 1321312105032