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31431035017 is a prime number
BaseRepresentation
bin11101010001011011…
…111000100010001001
310000010111001000101001
4131101123320202021
51003332321110032
622234512055001
72161614250414
oct352133704211
9100114030331
1031431035017
1112369aaa8a8
126112234461
132c6b9bb995
141742518b7b
15c3e59e3e7
hex7516f8889

31431035017 has 2 divisors, whose sum is σ = 31431035018. Its totient is φ = 31431035016.

The previous prime is 31431035003. The next prime is 31431035023. The reversal of 31431035017 is 71053013413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28799447616 + 2631587401 = 169704^2 + 51299^2 .

It is an emirp because it is prime and its reverse (71053013413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31431035017 - 27 = 31431034889 is a prime.

It is not a weakly prime, because it can be changed into another prime (31431035047) 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, 15715517508 + 15715517509.

It is an arithmetic number, because the mean of its divisors is an integer number (15715517509).

Almost surely, 231431035017 is an apocalyptic number.

It is an amenable number.

31431035017 is a deficient number, since it is larger than the sum of its proper divisors (1).

31431035017 is an equidigital number, since it uses as much as digits as its factorization.

31431035017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

The spelling of 31431035017 in words is "thirty-one billion, four hundred thirty-one million, thirty-five thousand, seventeen".