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2112202120 = 23577543579
BaseRepresentation
bin111110111100101…
…1010010110001000
312110012110222121011
41331321122112020
513311210431440
6545331453304
7103225264450
oct17571322610
95405428534
102112202120
11994312796
124ab457234
132787a0b52
14160744d60
15c56779ea
hex7de5a588

2112202120 has 32 divisors (see below), whose sum is σ = 5431377600. Its totient is φ = 724183488.

The previous prime is 2112202117. The next prime is 2112202129. The reversal of 2112202120 is 212022112.

It is a happy number.

It is a super-2 number, since 2×21122021202 = 8922795591464988800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2112202120.

It is not an unprimeable number, because it can be changed into a prime (2112202129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3771510 + ... + 3772069.

It is an arithmetic number, because the mean of its divisors is an integer number (169730550).

Almost surely, 22112202120 is an apocalyptic number.

2112202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112202120 is an abundant number, since it is smaller than the sum of its proper divisors (3319175480).

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

2112202120 is a wasteful number, since it uses less digits than its factorization.

2112202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7543597 (or 7543593 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2112202120 is about 45958.7001556833. The cubic root of 2112202120 is about 1283.0546591548.

Adding to 2112202120 its reverse (212022112), we get a palindrome (2324224232).

The spelling of 2112202120 in words is "two billion, one hundred twelve million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 7543579 15087158 30174316 37717895 52805053 60348632 75435790 105610106 150871580 211220212 264025265 301743160 422440424 528050530 1056101060 2112202120