Search a number
-
+
100690933356 = 223313139515951
BaseRepresentation
bin101110111000110100…
…1011011011001101100
3100121220022202101122000
41131301221123121230
53122203334331411
6114131244052300
710163133545316
oct1356151333154
9317808671560
10100690933356
1139780452602
1217621234090
1396589c6050
144c32b187b6
152944c1a956
hex1771a5b66c

100690933356 has 96 divisors (see below), whose sum is σ = 283154457600. Its totient is φ = 30758875200.

The previous prime is 100690933339. The next prime is 100690933363. The reversal of 100690933356 is 653339096001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62820 + ... + 453131.

It is an arithmetic number, because the mean of its divisors is an integer number (2949525600).

Almost surely, 2100690933356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100690933356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141577228800).

100690933356 is an abundant number, since it is smaller than the sum of its proper divisors (182463524244).

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

100690933356 is a wasteful number, since it uses less digits than its factorization.

100690933356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516116 (or 516108 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 100690933356 in words is "one hundred billion, six hundred ninety million, nine hundred thirty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 139 156 234 278 351 417 468 556 702 834 1251 1404 1668 1807 2502 3614 3753 5004 5421 7228 7506 10842 15012 16263 21684 32526 48789 65052 97578 195156 515951 1031902 1547853 2063804 3095706 4643559 6191412 6707363 9287118 13414726 13930677 18574236 20122089 26829452 27861354 40244178 55722708 60366267 71717189 80488356 120732534 143434378 181098801 215151567 241465068 286868756 362197602 430303134 645454701 724395204 860606268 932323457 1290909402 1864646914 1936364103 2581818804 2796970371 3729293828 3872728206 5593940742 7745456412 8390911113 11187881484 16781822226 25172733339 33563644452 50345466678 100690933356