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100219978961 is a prime number
BaseRepresentation
bin101110101010110010…
…0111000010011010001
3100120200111120102122122
41131111210320103101
53120222303311321
6114012421544025
710145354523404
oct1352544702321
9316614512578
10100219978961
11395596245a3
121750b575015
1395b22706cb
144bca363d3b
1529186dd8ab
hex17559384d1

100219978961 has 2 divisors, whose sum is σ = 100219978962. Its totient is φ = 100219978960.

The previous prime is 100219978939. The next prime is 100219978979. The reversal of 100219978961 is 169879912001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90899235025 + 9320743936 = 301495^2 + 96544^2 .

It is a cyclic number.

It is not a de Polignac number, because 100219978961 - 26 = 100219978897 is a prime.

It is not a weakly prime, because it can be changed into another prime (100219918961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50109989480 + 50109989481.

It is an arithmetic number, because the mean of its divisors is an integer number (50109989481).

Almost surely, 2100219978961 is an apocalyptic number.

It is an amenable number.

100219978961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100219978961 is an equidigital number, since it uses as much as digits as its factorization.

100219978961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 489888, while the sum is 53.

The spelling of 100219978961 in words is "one hundred billion, two hundred nineteen million, nine hundred seventy-eight thousand, nine hundred sixty-one".