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100201011108 = 2231117173258109
BaseRepresentation
bin101110101010001110…
…0100001011110100100
3100120122011212202122120
41131110130201132210
53120202424323413
6114010503225540
710145034353502
oct1352434413644
9316564782576
10100201011108
1139549949790
12175051482b0
1395ab35c023
144bc7a27672
152916be3723
hex17547217a4

100201011108 has 96 divisors (see below), whose sum is σ = 271622574720. Its totient is φ = 28412528640.

The previous prime is 100201011101. The next prime is 100201011133. The reversal of 100201011108 is 801110102001.

It is not an unprimeable number, because it can be changed into a prime (100201011101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259158 + ... + 517266.

It is an arithmetic number, because the mean of its divisors is an integer number (2829401820).

Almost surely, 2100201011108 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 100201011108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135811287360).

100201011108 is an abundant number, since it is smaller than the sum of its proper divisors (171421563612).

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

100201011108 is a wasteful number, since it uses less digits than its factorization.

100201011108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258317 (or 258315 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100201011108 its reverse (801110102001), we get a palindrome (901311113109).

The spelling of 100201011108 in words is "one hundred billion, two hundred one million, eleven thousand, one hundred eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 173 187 204 346 374 519 561 692 748 1038 1122 1903 2076 2244 2941 3806 5709 5882 7612 8823 11418 11764 17646 22836 32351 35292 64702 97053 129404 194106 258109 388212 516218 774327 1032436 1548654 2839199 3097308 4387853 5678398 8517597 8775706 11356796 13163559 17035194 17551412 26327118 34070388 44652857 48266383 52654236 89305714 96532766 133958571 144799149 178611428 193065532 267917142 289598298 491181427 535834284 579196596 759098569 982362854 1473544281 1518197138 1964725708 2277295707 2947088562 3036394276 4554591414 5894177124 8350084259 9109182828 16700168518 25050252777 33400337036 50100505554 100201011108