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100133211100 = 225213361321319
BaseRepresentation
bin101110101000001100…
…1111000101111011100
3100120110110022011112011
41131100121320233130
53120033100223400
6114000042121004
710143252152026
oct1352031705734
9316413264464
10100133211100
113951465061a
12174a64b0164
13959a2b0990
144bbca19016
152910c9e8ba
hex1750678bdc

100133211100 has 72 divisors (see below), whose sum is σ = 234079358240. Its totient is φ = 36960295680.

The previous prime is 100133211097. The next prime is 100133211119. The reversal of 100133211100 is 1112331001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4686241 + ... + 4707559.

Almost surely, 2100133211100 is an apocalyptic number.

100133211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133211100 is an abundant number, since it is smaller than the sum of its proper divisors (133946147140).

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

100133211100 is a wasteful number, since it uses less digits than its factorization.

100133211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24959 (or 24952 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100133211100 its reverse (1112331001), we get a palindrome (101245542101).

The spelling of 100133211100 in words is "one hundred billion, one hundred thirty-three million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 3613 7226 14452 18065 21319 36130 42638 46969 72260 85276 90325 93938 106595 180650 187876 213190 234845 277147 361300 426380 469690 532975 554294 939380 1065950 1108588 1174225 1385735 2131900 2348450 2771470 4696900 5542940 6928675 13857350 27714700 77025547 154051094 308102188 385127735 770255470 1001332111 1540510940 1925638675 2002664222 3851277350 4005328444 5006660555 7702554700 10013321110 20026642220 25033302775 50066605550 100133211100