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100085426569 is a prime number
BaseRepresentation
bin101110100110110001…
…1100110100110001001
3100120100010101110110201
41131031203212212021
53114433332122234
6113551214012201
710142132042362
oct1351543464611
9316303343421
10100085426569
113949a683377
12174924a7061
13959041cacb
144bb653ab69
15290b9b1314
hex174d8e6989

100085426569 has 2 divisors, whose sum is σ = 100085426570. Its totient is φ = 100085426568.

The previous prime is 100085426549. The next prime is 100085426657. The reversal of 100085426569 is 965624580001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69735605625 + 30349820944 = 264075^2 + 174212^2 .

It is a cyclic number.

It is not a de Polignac number, because 100085426569 - 229 = 99548555657 is a prime.

It is a super-3 number, since 3×1000854265693 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (100085426549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50042713284 + 50042713285.

It is an arithmetic number, because the mean of its divisors is an integer number (50042713285).

Almost surely, 2100085426569 is an apocalyptic number.

It is an amenable number.

100085426569 is a deficient number, since it is larger than the sum of its proper divisors (1).

100085426569 is an equidigital number, since it uses as much as digits as its factorization.

100085426569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 100085426569 in words is "one hundred billion, eighty-five million, four hundred twenty-six thousand, five hundred sixty-nine".