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2012112112 = 241747157393
BaseRepresentation
bin111011111101110…
…0110010011110000
312012020010212220211
41313323212103300
513110100041422
6531354313504
7100601446033
oct16773462360
95166125824
102012112112
1194286a67a
12481a28894
13260b283aa
1415132d01a
15bb9a6577
hex77ee64f0

2012112112 has 40 divisors (see below), whose sum is σ = 4215640896. Its totient is φ = 926724096.

The previous prime is 2012112079. The next prime is 2012112119. The reversal of 2012112112 is 2112112102.

It is a junction number, because it is equal to n+sod(n) for n = 2012112092 and 2012112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012112119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 65913 + ... + 91480.

Almost surely, 22012112112 is an apocalyptic number.

It is an amenable number.

2012112112 is an abundant number, since it is smaller than the sum of its proper divisors (2203528784).

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

2012112112 is a wasteful number, since it uses less digits than its factorization.

2012112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157465 (or 157459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 2012112112 is about 44856.5726733552. The cubic root of 2012112112 is about 1262.4593169520.

Adding to 2012112112 its reverse (2112112102), we get a palindrome (4124224214).

The spelling of 2012112112 in words is "two billion, twelve million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 376 752 799 1598 3196 6392 12784 157393 314786 629572 1259144 2518288 2675681 5351362 7397471 10702724 14794942 21405448 29589884 42810896 59179768 118359536 125757007 251514014 503028028 1006056056 2012112112