Search a number
-
+
111121114112 = 210976911619
BaseRepresentation
bin110011101111101010…
…1011010010000000000
3101121211012222110210222
41213133111122100000
53310034001122422
6123014235042212
711012453612501
oct1473725322000
9347735873728
10111121114112
1143142a767a8
12196522a0368
13a62b861138
14554205aba8
152d5574e842
hex19df55a400

111121114112 has 88 divisors (see below), whose sum is σ = 224887350240. Its totient is φ = 54874275840.

The previous prime is 111121114087. The next prime is 111121114127. The reversal of 111121114112 is 211411121111.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 68634839 + ... + 68636457.

Almost surely, 2111121114112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111121114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112443675120).

111121114112 is an abundant number, since it is smaller than the sum of its proper divisors (113766236128).

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

111121114112 is an equidigital number, since it uses as much as digits as its factorization.

111121114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2409 counting only the distinct ones).

The product of its digits is 16, while the sum is 17.

Adding to 111121114112 its reverse (211411121111), we get a palindrome (322532235223).

The spelling of 111121114112 in words is "one hundred eleven billion, one hundred twenty-one million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 691 776 1024 1382 1552 1619 2764 3104 3238 5528 6208 6476 11056 12416 12952 22112 24832 25904 44224 49664 51808 67027 88448 99328 103616 134054 157043 176896 207232 268108 314086 353792 414464 536216 628172 707584 828928 1072432 1118729 1256344 1657856 2144864 2237458 2512688 4289728 4474916 5025376 8579456 8949832 10050752 17158912 17899664 20101504 34317824 35799328 40203008 68635648 71598656 80406016 108516713 143197312 160812032 217033426 286394624 434066852 572789248 868133704 1145578496 1736267408 3472534816 6945069632 13890139264 27780278528 55560557056 111121114112