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100674914513 is a prime number
BaseRepresentation
bin101110111000010110…
…0010100100011010001
3100121212012121112220112
41131300230110203101
53122140234231023
6114125512451105
710162550440205
oct1356054244321
9317765545815
10100674914513
1139772401398
12176179a9a95
1396555a7a44
144c30948b05
152943604478
hex1770b148d1

100674914513 has 2 divisors, whose sum is σ = 100674914514. Its totient is φ = 100674914512.

The previous prime is 100674914449. The next prime is 100674914519. The reversal of 100674914513 is 315419476001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95615153089 + 5059761424 = 309217^2 + 71132^2 .

It is a cyclic number.

It is not a de Polignac number, because 100674914513 - 26 = 100674914449 is a prime.

It is not a weakly prime, because it can be changed into another prime (100674914519) 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, 50337457256 + 50337457257.

It is an arithmetic number, because the mean of its divisors is an integer number (50337457257).

Almost surely, 2100674914513 is an apocalyptic number.

It is an amenable number.

100674914513 is a deficient number, since it is larger than the sum of its proper divisors (1).

100674914513 is an equidigital number, since it uses as much as digits as its factorization.

100674914513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 100674914513 in words is "one hundred billion, six hundred seventy-four million, nine hundred fourteen thousand, five hundred thirteen".