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100086374117 is a prime number
BaseRepresentation
bin101110100110110011…
…1001101111011100101
3100120100012011121021002
41131031213031323211
53114434102432432
6113551250203045
710142143100042
oct1351547157345
9316305147232
10100086374117
11394a0170274
1217492883485
1395906921a2
144bb67061c9
15290baebe62
hex174d9cdee5

100086374117 has 2 divisors, whose sum is σ = 100086374118. Its totient is φ = 100086374116.

The previous prime is 100086374053. The next prime is 100086374159. The reversal of 100086374117 is 711473680001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97744394881 + 2341979236 = 312641^2 + 48394^2 .

It is a cyclic number.

It is not a de Polignac number, because 100086374117 - 26 = 100086374053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100086377117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50043187058 + 50043187059.

It is an arithmetic number, because the mean of its divisors is an integer number (50043187059).

Almost surely, 2100086374117 is an apocalyptic number.

It is an amenable number.

100086374117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100086374117 is an equidigital number, since it uses as much as digits as its factorization.

100086374117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 100086374117 in words is "one hundred billion, eighty-six million, three hundred seventy-four thousand, one hundred seventeen".