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101206666314 = 232131678633001
BaseRepresentation
bin101111001000001100…
…0110010110001001010
3100200020021012100020200
41132100120302301022
53124232401310224
6114254350033030
710211665320045
oct1362030626112
9320207170220
10101206666314
1139a15585396
1217745aa8776
13970b7c9290
144c81407c5c
1529751405c9
hex1790632c4a

101206666314 has 96 divisors (see below), whose sum is σ = 237917481984. Its totient is φ = 30907872000.

The previous prime is 101206666303. The next prime is 101206666333. The reversal of 101206666314 is 413666602101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33722814 + ... + 33725814.

It is an arithmetic number, because the mean of its divisors is an integer number (2478307104).

Almost surely, 2101206666314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101206666314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118958740992).

101206666314 is an abundant number, since it is smaller than the sum of its proper divisors (136710815670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101206666314 is a wasteful number, since it uses less digits than its factorization.

101206666314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 101206666314 in words is "one hundred one billion, two hundred six million, six hundred sixty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 167 234 334 501 863 1002 1503 1726 2171 2589 3001 3006 4342 5178 6002 6513 7767 9003 11219 13026 15534 18006 19539 22438 27009 33657 39013 39078 54018 67314 78026 100971 117039 144121 201942 234078 288242 351117 432363 501167 702234 864726 1002334 1297089 1503501 1873573 2589863 2594178 3007002 3747146 4510503 5179726 5620719 6515171 7769589 9021006 11241438 13030342 15539178 16862157 19545513 23308767 33668219 33724314 39091026 46617534 58636539 67336438 101004657 117273078 202009314 303013971 432507121 606027942 865014242 1297521363 2595042726 3892564089 5622592573 7785128178 11245185146 16867777719 33735555438 50603333157 101206666314