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10031007017 is a prime number
BaseRepresentation
bin10010101011110010…
…10000010100101001
3221220002002221202102
421111321100110221
5131020414211032
64335211143145
7503402103263
oct112571202451
927802087672
1010031007017
114288273049
121b3b444ab5
13c3b255915
146b2314b33
153da985362
hex255e50529

10031007017 has 2 divisors, whose sum is σ = 10031007018. Its totient is φ = 10031007016.

The previous prime is 10031007013. The next prime is 10031007031. The reversal of 10031007017 is 71070013001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10003800361 + 27206656 = 100019^2 + 5216^2 .

It is a cyclic number.

It is not a de Polignac number, because 10031007017 - 22 = 10031007013 is a prime.

It is a super-2 number, since 2×100310070172 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10031007017.

It is not a weakly prime, because it can be changed into another prime (10031007013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5015503508 + 5015503509.

It is an arithmetic number, because the mean of its divisors is an integer number (5015503509).

Almost surely, 210031007017 is an apocalyptic number.

It is an amenable number.

10031007017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031007017 is an equidigital number, since it uses as much as digits as its factorization.

10031007017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147, while the sum is 20.

The spelling of 10031007017 in words is "ten billion, thirty-one million, seven thousand, seventeen".