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987129001013 is a prime number
BaseRepresentation
bin11100101110101010111…
…10010011010000110101
310111100221201100221010212
432113111132103100311
5112133120011013023
62033251504155205
7131213656031441
oct16272536232065
93440851327125
10987129001013
1135070364a951
1213b38b608b05
13721168529cc
1435ac4c9b821
151aa267e6e78
hexe5d5793435

987129001013 has 2 divisors, whose sum is σ = 987129001014. Its totient is φ = 987129001012.

The previous prime is 987129001007. The next prime is 987129001073. The reversal of 987129001013 is 310100921789.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 526389427729 + 460739573284 = 725527^2 + 678778^2 .

It is a cyclic number.

It is not a de Polignac number, because 987129001013 - 228 = 986860565557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (987129001073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 493564500506 + 493564500507.

It is an arithmetic number, because the mean of its divisors is an integer number (493564500507).

Almost surely, 2987129001013 is an apocalyptic number.

It is an amenable number.

987129001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

987129001013 is an equidigital number, since it uses as much as digits as its factorization.

987129001013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 41.

The spelling of 987129001013 in words is "nine hundred eighty-seven billion, one hundred twenty-nine million, one thousand, thirteen".