Search a number
-
+
112122330312 = 23347641155069
BaseRepresentation
bin110100001101100000…
…0101111110011001000
3101201101222221112020110
41220123000233303020
53314111304032222
6123301442354320
711046332040246
oct1503300576310
9351358845213
10112122330312
1143607150303
121989165b9a0
13a75b105a65
1455d9003796
152db35c130c
hex1a1b02fcc8

112122330312 has 64 divisors (see below), whose sum is σ = 286718227200. Its totient is φ = 36521615360.

The previous prime is 112122330311. The next prime is 112122330323. The reversal of 112122330312 is 213033221211.

It is not an unprimeable number, because it can be changed into a prime (112122330311) 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 15 ways as a sum of consecutive naturals, for example, 645514 + ... + 800582.

It is an arithmetic number, because the mean of its divisors is an integer number (4479972300).

Almost surely, 2112122330312 is an apocalyptic number.

112122330312 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 112122330312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143359113600).

112122330312 is an abundant number, since it is smaller than the sum of its proper divisors (174595896888).

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

112122330312 is a wasteful number, since it uses less digits than its factorization.

112122330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155766 (or 155762 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 112122330312 its reverse (213033221211), we get a palindrome (325155551523).

The spelling of 112122330312 in words is "one hundred twelve billion, one hundred twenty-two million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 641 1128 1282 1923 2564 3846 5128 7692 15384 30127 60254 90381 120508 155069 180762 241016 310138 361524 465207 620276 723048 930414 1240552 1860828 3721656 7288243 14576486 21864729 29152972 43729458 58305944 87458916 99399229 174917832 198798458 298197687 397596916 596395374 795193832 1192790748 2385581496 4671763763 9343527526 14015291289 18687055052 28030582578 37374110104 56061165156 112122330312