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2113132100 = 2252101209221
BaseRepresentation
bin111110111110011…
…1101011001000100
312110021020020021212
41331330331121010
513311430211400
6545403430552
7103236216662
oct17574753104
95407206255
102113132100
11994898472
124ab825458
13278a38231
14160907c32
15c57ad335
hex7df3d644

2113132100 has 36 divisors (see below), whose sum is σ = 4630919748. Its totient is φ = 836880000.

The previous prime is 2113132057. The next prime is 2113132111. The reversal of 2113132100 is 12313112.

It can be written as a sum of positive squares in 6 ways, for example, as 75076 + 2113057024 = 274^2 + 45968^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94511 + ... + 114710.

Almost surely, 22113132100 is an apocalyptic number.

2113132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113132100 is an abundant number, since it is smaller than the sum of its proper divisors (2517787648).

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

2113132100 is a wasteful number, since it uses less digits than its factorization.

2113132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209336 (or 209329 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2113132100 is about 45968.8166043025. The cubic root of 2113132100 is about 1283.2429366060.

Adding to 2113132100 its reverse (12313112), we get a palindrome (2125445212).

The spelling of 2113132100 in words is "two billion, one hundred thirteen million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 209221 418442 836884 1046105 2092210 4184420 5230525 10461050 20922100 21131321 42262642 84525284 105656605 211313210 422626420 528283025 1056566050 2113132100