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112000122 = 232134311131
BaseRepresentation
bin1101010110011…
…11110001111010
321210202012021200
412223033301322
5212133000442
615040315030
72526661653
oct653176172
9253665250
10112000122
1158248393
1231612a76
131a285880
1410c3652a
159c7534c
hex6acfc7a

112000122 has 48 divisors (see below), whose sum is σ = 267435168. Its totient is φ = 33657120.

The previous prime is 112000111. The next prime is 112000123. The reversal of 112000122 is 221000211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4497 + ... + 15627.

It is an arithmetic number, because the mean of its divisors is an integer number (5571566).

Almost surely, 2112000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133717584).

112000122 is an abundant number, since it is smaller than the sum of its proper divisors (155435046).

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

112000122 is a wasteful number, since it uses less digits than its factorization.

112000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11195 (or 11192 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112000122 is about 10583.0110082150. The cubic root of 112000122 is about 482.0286278572.

Adding to 112000122 its reverse (221000211), we get a palindrome (333000333).

The spelling of 112000122 in words is "one hundred twelve million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 559 774 1118 1677 3354 5031 10062 11131 22262 33393 66786 100179 144703 200358 289406 434109 478633 868218 957266 1302327 1435899 2604654 2871798 4307697 6222229 8615394 12444458 18666687 37333374 56000061 112000122