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2112630120 = 2333517115067
BaseRepresentation
bin111110111101100…
…0010110101101000
312110020021201201000
41331323002311220
513311313130440
6545344555000
7103232026326
oct17573026550
95406251630
102112630120
11994585307
124ab622a60
132788c08c3
14160816d16
15c570e730
hex7dec2d68

2112630120 has 128 divisors (see below), whose sum is σ = 7456406400. Its totient is φ = 530224128.

The previous prime is 2112630089. The next prime is 2112630133. The reversal of 2112630120 is 210362112.

2112630120 is a `hidden beast` number, since 2 + 1 + 12 + 630 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2112630093 and 2112630102.

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, 39174 + ... + 75893.

It is an arithmetic number, because the mean of its divisors is an integer number (58253175).

Almost surely, 22112630120 is an apocalyptic number.

2112630120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112630120 is an abundant number, since it is smaller than the sum of its proper divisors (5343776280).

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

2112630120 is a wasteful number, since it uses less digits than its factorization.

2112630120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115104 (or 115094 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2112630120 is about 45963.3562743192. The cubic root of 2112630120 is about 1283.1413159985.

Adding to 2112630120 its reverse (210362112), we get a palindrome (2322992232).

The spelling of 2112630120 in words is "two billion, one hundred twelve million, six hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 115067 230134 345201 460268 575335 690402 920536 1035603 1150670 1380804 1726005 1956139 2071206 2301340 2761608 3106809 3452010 3912278 4142412 4602680 5178015 5868417 6213618 6904020 7824556 8284824 9780695 10356030 11736834 12427236 13808040 15534045 15649112 17605251 19561390 20712060 23473668 24854472 29342085 31068090 35210502 39122780 41424120 46947336 52815753 58684170 62136180 70421004 78245560 88026255 105631506 117368340 124272360 140842008 176052510 211263012 234736680 264078765 352105020 422526024 528157530 704210040 1056315060 2112630120