Search a number
-
+
2112343128 = 233274191157
BaseRepresentation
bin111110111100111…
…1100110001011000
312110012202011000200
41331321330301120
513311224440003
6545334502200
7103226422530
oct17571746130
95405664020
102112343128
119943a9725
124ab504960
1327882009c
141607804c0
15c56a46a3
hex7de7cc58

2112343128 has 48 divisors (see below), whose sum is σ = 6538206480. Its totient is φ = 603526464.

The previous prime is 2112343099. The next prime is 2112343133. The reversal of 2112343128 is 8213432112.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 2095075 + ... + 2096082.

It is an arithmetic number, because the mean of its divisors is an integer number (136212635).

Almost surely, 22112343128 is an apocalyptic number.

2112343128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2112343128 is an abundant number, since it is smaller than the sum of its proper divisors (4425863352).

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

2112343128 is a wasteful number, since it uses less digits than its factorization.

2112343128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191176 (or 4191169 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2112343128 is about 45960.2342030586. The cubic root of 2112343128 is about 1283.0832102333.

The spelling of 2112343128 in words is "two billion, one hundred twelve million, three hundred forty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4191157 8382314 12573471 16764628 25146942 29338099 33529256 37720413 50293884 58676198 75440826 88014297 100587768 117352396 150881652 176028594 234704792 264042891 301763304 352057188 528085782 704114376 1056171564 2112343128