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10407906931 is a prime number
BaseRepresentation
bin10011011000101110…
…00000111001110011
3222212100022110020111
421230113000321303
5132303411010211
64440433322151
7515626514662
oct115427007163
928770273214
1010407906931
114460aa0584
122025706357
13c9b369a16
1470a3c4dd9
1540dad4421
hex26c5c0e73

10407906931 has 2 divisors, whose sum is σ = 10407906932. Its totient is φ = 10407906930.

The previous prime is 10407906907. The next prime is 10407906937. The reversal of 10407906931 is 13960970401.

10407906931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10407906931 - 29 = 10407906419 is a prime.

It is a super-2 number, since 2×104079069312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10407906937) 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, 5203953465 + 5203953466.

It is an arithmetic number, because the mean of its divisors is an integer number (5203953466).

Almost surely, 210407906931 is an apocalyptic number.

10407906931 is a deficient number, since it is larger than the sum of its proper divisors (1).

10407906931 is an equidigital number, since it uses as much as digits as its factorization.

10407906931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 40.

The spelling of 10407906931 in words is "ten billion, four hundred seven million, nine hundred six thousand, nine hundred thirty-one".