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100086408013 is a prime number
BaseRepresentation
bin101110100110110011…
…1010110001101001101
3100120100012020022202111
41131031213112031031
53114434110024023
6113551251024021
710142143300624
oct1351547261515
9316305208674
10100086408013
11394a0193789
121749289b011
1395906a4747
144bb67146bb
15290bb0700d
hex174d9d634d

100086408013 has 2 divisors, whose sum is σ = 100086408014. Its totient is φ = 100086408012.

The previous prime is 100086408001. The next prime is 100086408041. The reversal of 100086408013 is 310804680001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98544510724 + 1541897289 = 313918^2 + 39267^2 .

It is a cyclic number.

It is not a de Polignac number, because 100086408013 - 225 = 100052853581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100086403013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50043204006 + 50043204007.

It is an arithmetic number, because the mean of its divisors is an integer number (50043204007).

Almost surely, 2100086408013 is an apocalyptic number.

It is an amenable number.

100086408013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100086408013 is an equidigital number, since it uses as much as digits as its factorization.

100086408013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 100086408013 in words is "one hundred billion, eighty-six million, four hundred eight thousand, thirteen".