Search a number
-
+
2112114412260 = 2232543272882999
BaseRepresentation
bin11110101111000011110…
…101000100101011100100
321110220201212220002200100
4132233003311010223210
5234101102242143020
64254143021544100
7305411110166526
oct36570365045344
97426655802610
102112114412260
11744819583146
122a1412a15030
1312422cb27098
14743267d1a16
1539e1aa37a90
hex1ebc3d44ae4

2112114412260 has 72 divisors (see below), whose sum is σ = 6555741192000. Its totient is φ = 550132123968.

The previous prime is 2112114412241. The next prime is 2112114412271. The reversal of 2112114412260 is 622144112112.

2112114412260 is a `hidden beast` number, since 2 + 1 + 1 + 211 + 441 + 2 + 2 + 6 + 0 = 666.

It is a super-2 number, since 2×21121144122602 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136433760 + ... + 136449239.

It is an arithmetic number, because the mean of its divisors is an integer number (91051961000).

Almost surely, 22112114412260 is an apocalyptic number.

2112114412260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112114412260 is an abundant number, since it is smaller than the sum of its proper divisors (4443626779740).

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

2112114412260 is a wasteful number, since it uses less digits than its factorization.

2112114412260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272883057 (or 272883052 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 2112114412260 its reverse (622144112112), we get a palindrome (2734258524372).

The spelling of 2112114412260 in words is "two trillion, one hundred twelve billion, one hundred fourteen million, four hundred twelve thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 272882999 545765998 818648997 1091531996 1364414995 1637297994 2455946991 2728829990 3274595988 4093244985 4911893982 5457659980 8186489970 9823787964 11733968957 12279734955 16372979940 23467937914 24559469910 35201906871 46935875828 49118939820 58669844785 70403813742 105605720613 117339689570 140807627484 176009534355 211211441226 234679379140 352019068710 422422882452 528028603065 704038137420 1056057206130 2112114412260