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1312152644401 is a prime number
BaseRepresentation
bin10011000110000010011…
…001000110101100110001
311122102220011200202022221
4103012002121012230301
5132444242034110101
62442443345001041
7163541236310464
oct23060231065461
94572804622287
101312152644401
11466531a61865
12192379323181
1396973a756a1
144771957d2db
15241eac98aa1
hex13182646b31

1312152644401 has 2 divisors, whose sum is σ = 1312152644402. Its totient is φ = 1312152644400.

The previous prime is 1312152644393. The next prime is 1312152644417. The reversal of 1312152644401 is 1044462512131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1186835936400 + 125316708001 = 1089420^2 + 354001^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312152644401 - 23 = 1312152644393 is a prime.

It is not a weakly prime, because it can be changed into another prime (1312152624401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656076322200 + 656076322201.

It is an arithmetic number, because the mean of its divisors is an integer number (656076322201).

Almost surely, 21312152644401 is an apocalyptic number.

It is an amenable number.

1312152644401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312152644401 is an equidigital number, since it uses as much as digits as its factorization.

1312152644401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 1312152644401 in words is "one trillion, three hundred twelve billion, one hundred fifty-two million, six hundred forty-four thousand, four hundred one".