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123640013281 is a prime number
BaseRepresentation
bin111001100100110000…
…1001110000111100001
3102211010200111110000011
41303021201032013201
54011203320411111
6132444402324521
711634625526011
oct1631141160741
9384120443004
10123640013281
1148487622a64
121bb66959741
13b875367095
145dac94dc41
15333981d021
hex1cc984e1e1

123640013281 has 2 divisors, whose sum is σ = 123640013282. Its totient is φ = 123640013280.

The previous prime is 123640013221. The next prime is 123640013293. The reversal of 123640013281 is 182310046321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66262997056 + 57377016225 = 257416^2 + 239535^2 .

It is a cyclic number.

It is not a de Polignac number, because 123640013281 - 213 = 123640005089 is a prime.

It is a super-2 number, since 2×1236400132812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123640013221) 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, 61820006640 + 61820006641.

It is an arithmetic number, because the mean of its divisors is an integer number (61820006641).

Almost surely, 2123640013281 is an apocalyptic number.

It is an amenable number.

123640013281 is a deficient number, since it is larger than the sum of its proper divisors (1).

123640013281 is an equidigital number, since it uses as much as digits as its factorization.

123640013281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 123640013281 in words is "one hundred twenty-three billion, six hundred forty million, thirteen thousand, two hundred eighty-one".