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2113866900 = 2232522348741
BaseRepresentation
bin111110111111111…
…0000110010010100
312110022121120020200
41331333300302110
513312122220100
6545431300500
7103245400155
oct17577606224
95408546220
102113866900
1199524a542
124abb1a730
13278c34822
14160a5992c
15c58a5e00
hex7dff0c94

2113866900 has 54 divisors (see below), whose sum is σ = 6625801182. Its totient is φ = 563697600.

The previous prime is 2113866899. The next prime is 2113866901. The reversal of 2113866900 is 96683112.

2113866900 is a `hidden beast` number, since 211 + 386 + 69 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2113866899) and next prime (2113866901).

It can be written as a sum of positive squares in 3 ways, for example, as 261080964 + 1852785936 = 16158^2 + 43044^2 .

It is a super-2 number, since 2×21138669002 = 8936866541831220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113866901) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1173471 + ... + 1175270.

Almost surely, 22113866900 is an apocalyptic number.

2113866900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113866900 is an abundant number, since it is smaller than the sum of its proper divisors (4511934282).

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

2113866900 is a wasteful number, since it uses less digits than its factorization.

2113866900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348761 (or 2348751 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2113866900 is about 45976.8082841774. The cubic root of 2113866900 is about 1283.3916601739.

The spelling of 2113866900 in words is "two billion, one hundred thirteen million, eight hundred sixty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2348741 4697482 7046223 9394964 11743705 14092446 21138669 23487410 28184892 35231115 42277338 46974820 58718525 70462230 84554676 105693345 117437050 140924460 176155575 211386690 234874100 352311150 422773380 528466725 704622300 1056933450 2113866900