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2113982900 = 2252232274049
BaseRepresentation
bin111111000000000…
…1101000110110100
312110022211110100222
41332000031012310
513312134423100
6545433553512
7103246362311
oct17600150664
95408743328
102113982900
11995319707
124abb75898
13278c75573
14160a89d08
15c58ca485
hex7e00d1b4

2113982900 has 72 divisors (see below), whose sum is σ = 4809067200. Its totient is φ = 805066240.

The previous prime is 2113982891. The next prime is 2113982911. The reversal of 2113982900 is 92893112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520076 + ... + 524124.

It is an arithmetic number, because the mean of its divisors is an integer number (66792600).

Almost surely, 22113982900 is an apocalyptic number.

2113982900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113982900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404533600).

2113982900 is an abundant number, since it is smaller than the sum of its proper divisors (2695084300).

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

2113982900 is a wasteful number, since it uses less digits than its factorization.

2113982900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 2113982900 is about 45978.0697724470. The cubic root of 2113982900 is about 1283.4151354315.

The spelling of 2113982900 in words is "two billion, one hundred thirteen million, nine hundred eighty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 227 230 454 460 575 908 1135 1150 2270 2300 4049 4540 5221 5675 8098 10442 11350 16196 20245 20884 22700 26105 40490 52210 80980 93127 101225 104420 130525 186254 202450 261050 372508 404900 465635 522100 919123 931270 1838246 1862540 2328175 3676492 4595615 4656350 9191230 9312700 18382460 21139829 22978075 42279658 45956150 84559316 91912300 105699145 211398290 422796580 528495725 1056991450 2113982900