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2112312120 = 2335131134371
BaseRepresentation
bin111110111100111…
…0101001100111000
312110012200120111020
41331321311030320
513311222441440
6545334102440
7103226233242
oct17571651470
95405616436
102112312120
119943883a6
124ab4aaa20
1327880bc39
14160773092
15c569a3d0
hex7de75338

2112312120 has 64 divisors (see below), whose sum is σ = 6385357440. Its totient is φ = 558979200.

The previous prime is 2112312109. The next prime is 2112312143. The reversal of 2112312120 is 212132112.

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 2112312120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51466 + ... + 82905.

It is an arithmetic number, because the mean of its divisors is an integer number (99771210).

Almost surely, 22112312120 is an apocalyptic number.

2112312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112312120 is an abundant number, since it is smaller than the sum of its proper divisors (4273045320).

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

2112312120 is a wasteful number, since it uses less digits than its factorization.

2112312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134516 (or 134512 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2112312120 is about 45959.8968667250. The cubic root of 2112312120 is about 1283.0769318911.

Adding to 2112312120 its reverse (212132112), we get a palindrome (2324444232).

The spelling of 2112312120 in words is "two billion, one hundred twelve million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3930 5240 7860 15720 134371 268742 403113 537484 671855 806226 1074968 1343710 1612452 2015565 2687420 3224904 4031130 5374840 8062260 16124520 17602601 35205202 52807803 70410404 88013005 105615606 140820808 176026010 211231212 264039015 352052020 422462424 528078030 704104040 1056156060 2112312120