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2113030100 = 225221130301
BaseRepresentation
bin111110111110010…
…0100011111010100
312110021001001101002
41331330210133110
513311413430400
6545401322432
7103235313416
oct17574443724
95407031332
102113030100
11994828875
124ab796418
13278a0098c
141608bc9b6
15c578ced5
hex7df247d4

2113030100 has 18 divisors (see below), whose sum is σ = 4585275534. Its totient is φ = 845212000.

The previous prime is 2113030093. The next prime is 2113030123. The reversal of 2113030100 is 10303112.

It can be written as a sum of positive squares in 3 ways, for example, as 9156676 + 2103873424 = 3026^2 + 45868^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 10565051 + ... + 10565250.

Almost surely, 22113030100 is an apocalyptic number.

2113030100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113030100 is an abundant number, since it is smaller than the sum of its proper divisors (2472245434).

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

2113030100 is a wasteful number, since it uses less digits than its factorization.

2113030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21130315 (or 21130308 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2113030100 is about 45967.7071431674. The cubic root of 2113030100 is about 1283.2222890744. Note that the first 4 decimals are identical.

Adding to 2113030100 its reverse (10303112), we get a palindrome (2123333212).

The spelling of 2113030100 in words is "two billion, one hundred thirteen million, thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21130301 42260602 84521204 105651505 211303010 422606020 528257525 1056515050 2113030100