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2112331300 = 225221123313
BaseRepresentation
bin111110111100111…
…1001111000100100
312110012201112210121
41331321321320210
513311224100200
6545334331324
7103226343202
oct17571717044
95405645717
102112331300
119943a0852
124ab4b9b44
132788178a1
1416077a072
15c56a0e1a
hex7de79e24

2112331300 has 18 divisors (see below), whose sum is σ = 4583759138. Its totient is φ = 844932480.

The previous prime is 2112331297. The next prime is 2112331301. The reversal of 2112331300 is 31332112.

It can be written as a sum of positive squares in 3 ways, for example, as 23658496 + 2088672804 = 4864^2 + 45702^2 .

It is not an unprimeable number, because it can be changed into a prime (2112331301) 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 5 ways as a sum of consecutive naturals, for example, 10561557 + ... + 10561756.

Almost surely, 22112331300 is an apocalyptic number.

2112331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112331300 is an abundant number, since it is smaller than the sum of its proper divisors (2471427838).

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

2112331300 is a wasteful number, since it uses less digits than its factorization.

2112331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21123327 (or 21123320 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2112331300 is about 45960.1055264237. The cubic root of 2112331300 is about 1283.0808153672.

Adding to 2112331300 its reverse (31332112), we get a palindrome (2143663412).

The spelling of 2112331300 in words is "two billion, one hundred twelve million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21123313 42246626 84493252 105616565 211233130 422466260 528082825 1056165650 2112331300