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1310400107 is a prime number
BaseRepresentation
bin100111000011011…
…0001111001101011
310101022202020000022
41032012301321223
510140430300412
6334010231055
744321134322
oct11606617153
93338666008
101310400107
11612760aa5
12306a2548b
1317b6399a3
14c606b0b9
157a096a72
hex4e1b1e6b

1310400107 has 2 divisors, whose sum is σ = 1310400108. Its totient is φ = 1310400106.

The previous prime is 1310400083. The next prime is 1310400149. The reversal of 1310400107 is 7010040131.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1310400107 - 220 = 1309351531 is a prime.

It is a super-2 number, since 2×13104001072 = 3434296880851222898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1310400167) 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, 655200053 + 655200054.

It is an arithmetic number, because the mean of its divisors is an integer number (655200054).

Almost surely, 21310400107 is an apocalyptic number.

1310400107 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310400107 is an equidigital number, since it uses as much as digits as its factorization.

1310400107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1310400107 is about 36199.4489875191. The cubic root of 1310400107 is about 1094.2955671618.

Adding to 1310400107 its reverse (7010040131), we get a palindrome (8320440238).

The spelling of 1310400107 in words is "one billion, three hundred ten million, four hundred thousand, one hundred seven".