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2137336100 = 225221373361
BaseRepresentation
bin111111101100101…
…0010100100100100
312111221202220221022
41333121102210210
513334124223400
6552030310312
7103652025404
oct17731224444
95457686838
102137336100
119a751a279
124b7958398
13280a61023
14163c08804
15c798eb85
hex7f652924

2137336100 has 18 divisors (see below), whose sum is σ = 4638019554. Its totient is φ = 854934400.

The previous prime is 2137336099. The next prime is 2137336129. The reversal of 2137336100 is 16337312.

It can be written as a sum of positive squares in 3 ways, for example, as 443355136 + 1693980964 = 21056^2 + 41158^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2137336100.

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, 10686581 + ... + 10686780.

It is an arithmetic number, because the mean of its divisors is an integer number (257667753).

Almost surely, 22137336100 is an apocalyptic number.

2137336100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137336100 is an abundant number, since it is smaller than the sum of its proper divisors (2500683454).

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

2137336100 is a wasteful number, since it uses less digits than its factorization.

2137336100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21373375 (or 21373368 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 2137336100 is about 46231.3324488923. The cubic root of 2137336100 is about 1288.1238074280.

The spelling of 2137336100 in words is "two billion, one hundred thirty-seven million, three hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21373361 42746722 85493444 106866805 213733610 427467220 534334025 1068668050 2137336100