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2112110120 = 2354311310867
BaseRepresentation
bin111110111100100…
…0011111000101000
312110012022022101202
41331321003320220
513311200010440
6545325503332
7103224432311
oct17571037050
95405268352
102112110120
1199425a65a
124ab411b48
1327876b003
1416071d608
15c565a615
hex7de43e28

2112110120 has 64 divisors (see below), whose sum is σ = 4906249920. Its totient is φ = 817818624.

The previous prime is 2112110083. The next prime is 2112110123. The reversal of 2112110120 is 210112112.

It is a super-2 number, since 2×21121101202 = 8922018318012828800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112110123) 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 15 ways as a sum of consecutive naturals, for example, 188927 + ... + 199793.

It is an arithmetic number, because the mean of its divisors is an integer number (76660155).

Almost surely, 22112110120 is an apocalyptic number.

2112110120 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 2112110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453124960).

2112110120 is an abundant number, since it is smaller than the sum of its proper divisors (2794139800).

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

2112110120 is a wasteful number, since it uses less digits than its factorization.

2112110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11034 (or 11030 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 2112110120 is about 45957.6992461546. The cubic root of 2112110120 is about 1283.0360304542.

Adding to 2112110120 its reverse (210112112), we get a palindrome (2322222232).

The spelling of 2112110120 in words is "two billion, one hundred twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 113 172 215 226 344 430 452 565 860 904 1130 1720 2260 4520 4859 9718 10867 19436 21734 24295 38872 43468 48590 54335 86936 97180 108670 194360 217340 434680 467281 934562 1227971 1869124 2336405 2455942 3738248 4672810 4911884 6139855 9345620 9823768 12279710 18691240 24559420 49118840 52802753 105605506 211211012 264013765 422422024 528027530 1056055060 2112110120