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2112330120 = 2335231914007
BaseRepresentation
bin111110111100111…
…1001100110001000
312110012201111011220
41331321321212020
513311224030440
6545334322040
7103226336565
oct17571714610
95405644156
102112330120
1199439a97a
124ab4b9320
132788171a4
1416077986c
15c56a08d0
hex7de79988

2112330120 has 128 divisors (see below), whose sum is σ = 6648791040. Its totient is φ = 535842560.

The previous prime is 2112330107. The next prime is 2112330137. The reversal of 2112330120 is 210332112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2112330120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525157 + ... + 529163.

It is an arithmetic number, because the mean of its divisors is an integer number (51943680).

Almost surely, 22112330120 is an apocalyptic number.

2112330120 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 2112330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324395520).

2112330120 is an abundant number, since it is smaller than the sum of its proper divisors (4536460920).

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

2112330120 is a wasteful number, since it uses less digits than its factorization.

2112330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235 (or 4231 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2112330120 is about 45960.0926892016. The cubic root of 2112330120 is about 1283.0805764471.

Adding to 2112330120 its reverse (210332112), we get a palindrome (2322662232).

The spelling of 2112330120 in words is "two billion, one hundred twelve million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 191 230 276 345 382 460 552 573 690 764 920 955 1146 1380 1528 1910 2292 2760 2865 3820 4007 4393 4584 5730 7640 8014 8786 11460 12021 13179 16028 17572 20035 21965 22920 24042 26358 32056 35144 40070 43930 48084 52716 60105 65895 80140 87860 92161 96168 105432 120210 131790 160280 175720 184322 240420 263580 276483 368644 460805 480840 527160 552966 737288 765337 921610 1105932 1382415 1530674 1843220 2211864 2296011 2764830 3061348 3686440 3826685 4592022 5529660 6122696 7653370 9184044 11059320 11480055 15306740 17602751 18368088 22960110 30613480 35205502 45920220 52808253 70411004 88013755 91840440 105616506 140822008 176027510 211233012 264041265 352055020 422466024 528082530 704110040 1056165060 2112330120