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112110122112 = 2733118475099
BaseRepresentation
bin110100001101001001…
…0001011010010000000
3101201101010222021201220
41220122102023102000
53314100142401422
6123300324555040
711046123212652
oct1503222132200
9351333867656
10112110122112
114360027208a
1219889552a80
13a758720081
1455d75466d2
152db24ade5c
hex1a1a48b480

112110122112 has 128 divisors (see below), whose sum is σ = 307625472000. Its totient is φ = 36137886720.

The previous prime is 112110122101. The next prime is 112110122141. The reversal of 112110122112 is 211221011211.

Adding to 112110122112 its reverse (211221011211), we get a palindrome (323331133323).

It is a happy number.

112110122112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 112110122091 and 112110122100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21984139 + ... + 21989237.

It is an arithmetic number, because the mean of its divisors is an integer number (2403324000).

Almost surely, 2112110122112 is an apocalyptic number.

112110122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112110122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153812736000).

112110122112 is an abundant number, since it is smaller than the sum of its proper divisors (195515349888).

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

112110122112 is a wasteful number, since it uses less digits than its factorization.

112110122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6994 (or 6982 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

The spelling of 112110122112 in words is "one hundred twelve billion, one hundred ten million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1847 1984 2976 3694 3968 5099 5541 5952 7388 10198 11082 11904 14776 15297 20396 22164 29552 30594 40792 44328 57257 59104 61188 81584 88656 114514 118208 122376 158069 163168 171771 177312 229028 236416 244752 316138 326336 343542 354624 458056 474207 489504 632276 652672 687084 709248 916112 948414 979008 1264552 1374168 1832224 1896828 1958016 2529104 2748336 3664448 3793656 5058208 5496672 7328896 7587312 9417853 10116416 10993344 15174624 18835706 20232832 21986688 28253559 30349248 37671412 56507118 60698496 75342824 113014236 150685648 226028472 291953443 301371296 452056944 583906886 602742592 875860329 904113888 1167813772 1205485184 1751720658 1808227776 2335627544 3503441316 3616455552 4671255088 7006882632 9342510176 14013765264 18685020352 28027530528 37370040704 56055061056 112110122112