Search a number
-
+
112120110126 = 232293147147419
BaseRepresentation
bin110100001101011100…
…0010001110000101110
3101201101211202201201100
41220122320101300232
53314110222011001
6123301323023530
711046304132353
oct1503270216056
9351354681640
10112120110126
1143605974242
121989096aba6
13a75a80933b
1455d89c662a
152db32d3586
hex1a1ae11c2e

112120110126 has 96 divisors (see below), whose sum is σ = 264931430400. Its totient is φ = 34177389120.

The previous prime is 112120110073. The next prime is 112120110127. The reversal of 112120110126 is 621011021211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112120110099 and 112120110108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120110127) 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 47 ways as a sum of consecutive naturals, for example, 686845 + ... + 834263.

It is an arithmetic number, because the mean of its divisors is an integer number (2759702400).

Almost surely, 2112120110126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112120110126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132465715200).

112120110126 is an abundant number, since it is smaller than the sum of its proper divisors (152811320274).

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

112120110126 is a wasteful number, since it uses less digits than its factorization.

112120110126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147534 (or 147531 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112120110126 its reverse (621011021211), we get a palindrome (733131131337).

The spelling of 112120110126 in words is "one hundred twelve billion, one hundred twenty million, one hundred ten thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 31 47 58 62 87 93 94 141 174 186 261 279 282 423 522 558 846 899 1363 1457 1798 2697 2726 2914 4089 4371 5394 8091 8178 8742 12267 13113 16182 24534 26226 42253 84506 126759 147419 253518 294838 380277 442257 760554 884514 1326771 2653542 4275151 4569989 6928693 8550302 9139978 12825453 13709967 13857386 20786079 25650906 27419934 38476359 41129901 41572158 62358237 76952718 82259802 124716474 132529681 200932097 214789483 265059362 397589043 401864194 429578966 602796291 644368449 795178086 1192767129 1205592582 1288736898 1808388873 1933105347 2385534258 3616777746 3866210694 6228895007 12457790014 18686685021 37373370042 56060055063 112120110126