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100130213309 = 722765373897
BaseRepresentation
bin101110101000000111…
…0011100110110111101
3100120110020122212022212
41131100032130312331
53120031313311214
6113555453550205
710143214525100
oct1352016346675
9316406585285
10100130213309
1139512993305
12174a54a5365
1395997a1339
144bbc478737
1529108ab53e
hex175039cdbd

100130213309 has 12 divisors (see below), whose sum is σ = 116483791644. Its totient is φ = 85821632064.

The previous prime is 100130213257. The next prime is 100130213329. The reversal of 100130213309 is 903312031001.

It can be written as a sum of positive squares in 2 ways, for example, as 26496677284 + 73633536025 = 162778^2 + 271355^2 .

It is not a de Polignac number, because 100130213309 - 216 = 100130147773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100130213329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1318049 + ... + 1391945.

It is an arithmetic number, because the mean of its divisors is an integer number (9706982637).

Almost surely, 2100130213309 is an apocalyptic number.

It is an amenable number.

100130213309 is a deficient number, since it is larger than the sum of its proper divisors (16353578335).

100130213309 is an equidigital number, since it uses as much as digits as its factorization.

100130213309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101564 (or 101557 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The spelling of 100130213309 in words is "one hundred billion, one hundred thirty million, two hundred thirteen thousand, three hundred nine".

Divisors: 1 7 49 27653 73897 193571 517279 1354997 3620953 2043473741 14304316187 100130213309