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2113240900 = 225245972
BaseRepresentation
bin111110111110101…
…0111111101000100
312110021102202112111
41331331113331010
513311442202100
6545410030404
7103240152121
oct17575277504
95407382474
102113240900
11994962191
124ab878404
13278a75904
14160935748
15c57d06ba
hex7df57f44

2113240900 has 27 divisors (see below), whose sum is σ = 4586730519. Its totient is φ = 845112480.

The previous prime is 2113240889. The next prime is 2113240919. The reversal of 2113240900 is 90423112.

The square root of 2113240900 is 45970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 784784196 + 1328456704 = 28014^2 + 36448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 457402 + ... + 461998.

Almost surely, 22113240900 is an apocalyptic number.

2113240900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2113240900 is the 45970-th square number.

It is an amenable number.

2113240900 is an abundant number, since it is smaller than the sum of its proper divisors (2473489619).

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

2113240900 is an frugal number, since it uses more digits than its factorization.

2113240900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9208 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The cubic root of 2113240900 is about 1283.2649599074.

The spelling of 2113240900 in words is "two billion, one hundred thirteen million, two hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4597 9194 18388 22985 45970 91940 114925 229850 459700 21132409 42264818 84529636 105662045 211324090 422648180 528310225 1056620450 2113240900