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2113024400 = 245210351287
BaseRepresentation
bin111110111110010…
…0011000110010000
312110021000202112222
41331330203012100
513311413240100
6545401240212
7103235260664
oct17574430620
95407022488
102113024400
11994824563
124ab793068
132789cb1c6
141608ba8a4
15c578b485
hex7df23190

2113024400 has 60 divisors (see below), whose sum is σ = 5125927872. Its totient is φ = 836987520.

The previous prime is 2113024399. The next prime is 2113024423. The reversal of 2113024400 is 44203112.

It is a super-2 number, since 2×21130244002 = 8929744229990720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15557 + ... + 66843.

Almost surely, 22113024400 is an apocalyptic number.

2113024400 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 2113024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562963936).

2113024400 is an abundant number, since it is smaller than the sum of its proper divisors (3012903472).

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

2113024400 is a wasteful number, since it uses less digits than its factorization.

2113024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51408 (or 51397 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2113024400 is about 45967.6451430786. The cubic root of 2113024400 is about 1283.2211352221.

Adding to 2113024400 its reverse (44203112), we get a palindrome (2157227512).

The spelling of 2113024400 in words is "two billion, one hundred thirteen million, twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 200 206 400 412 515 824 1030 1648 2060 2575 4120 5150 8240 10300 20600 41200 51287 102574 205148 256435 410296 512870 820592 1025740 1282175 2051480 2564350 4102960 5128700 5282561 10257400 10565122 20514800 21130244 26412805 42260488 52825610 84520976 105651220 132064025 211302440 264128050 422604880 528256100 1056512200 2113024400