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100220133096 = 23321391946293
BaseRepresentation
bin101110101010110010…
…1011101111011101000
3100120200111212021002100
41131111211131323220
53120222323224341
6114012425133400
710145356034646
oct1352545357350
9316614767070
10100220133096
113955971a386
121750b62a260
1395b22c5905
144bca3a4196
15291871e3b6
hex175595dee8

100220133096 has 24 divisors (see below), whose sum is σ = 271429527330. Its totient is φ = 33406711008.

The previous prime is 100220133059. The next prime is 100220133121. The reversal of 100220133096 is 690331022001.

100220133096 is a `hidden beast` number, since 100 + 220 + 1 + 330 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91536502500 + 8683630596 = 302550^2 + 93186^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 695973075 + ... + 695973218.

Almost surely, 2100220133096 is an apocalyptic number.

It is an amenable number.

100220133096 is an abundant number, since it is smaller than the sum of its proper divisors (171209394234).

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

100220133096 is a wasteful number, since it uses less digits than its factorization.

100220133096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391946305 (or 1391946298 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 100220133096 its reverse (690331022001), we get a palindrome (790551155097).

The spelling of 100220133096 in words is "one hundred billion, two hundred twenty million, one hundred thirty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1391946293 2783892586 4175838879 5567785172 8351677758 11135570344 12527516637 16703355516 25055033274 33406711032 50110066548 100220133096