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272921200100 = 225210127021901
BaseRepresentation
bin1111111000101101011…
…1110000010111100100
3222002110100101110120022
43332023113300113210
513432420311400400
6325213412254312
725501145632013
oct3761327602744
9862410343508
10272921200100
11a58219a212a
1244a88911398
131c975a1aca3
14d2d0a6aa7a
157175260b85
hex3f8b5f05e4

272921200100 has 36 divisors (see below), whose sum is σ = 598102778868. Its totient is φ = 108087600000.

The previous prime is 272921200099. The next prime is 272921200147. The reversal of 272921200100 is 1002129272.

It can be written as a sum of positive squares in 6 ways, for example, as 2246570404 + 270674629696 = 47398^2 + 520264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 272921200100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13500851 + ... + 13521050.

Almost surely, 2272921200100 is an apocalyptic number.

272921200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272921200100 is an abundant number, since it is smaller than the sum of its proper divisors (325181578768).

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

272921200100 is a wasteful number, since it uses less digits than its factorization.

272921200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27022016 (or 27022009 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 272921200100 its reverse (1002129272), we get a palindrome (273923329372).

The spelling of 272921200100 in words is "two hundred seventy-two billion, nine hundred twenty-one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 27021901 54043802 108087604 135109505 270219010 540438020 675547525 1351095050 2702190100 2729212001 5458424002 10916848004 13646060005 27292120010 54584240020 68230300025 136460600050 272921200100