Search a number
-
+
112741134660 = 223457115317053
BaseRepresentation
bin110100011111111100…
…1010011000101000100
3101210000010100001020000
41220333321103011010
53321343212302120
6123443105441300
711100554555460
oct1507771230504
9353003301200
10112741134660
11438a4482160
1219a24940230
13a82938678b
1456572834a0
152decaa5990
hex1a3fe53144

112741134660 has 480 divisors, whose sum is σ = 449289130752. Its totient is φ = 22983367680.

The previous prime is 112741134589. The next prime is 112741134673. The reversal of 112741134660 is 66431147211.

112741134660 is a `hidden beast` number, since 1 + 12 + 74 + 113 + 466 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6602694 + ... + 6619746.

Almost surely, 2112741134660 is an apocalyptic number.

112741134660 is a gapful number since it is divisible by the number (10) 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 112741134660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224644565376).

112741134660 is an abundant number, since it is smaller than the sum of its proper divisors (336547996092).

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

112741134660 is a wasteful number, since it uses less digits than its factorization.

112741134660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17145 (or 17134 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 112741134660 in words is "one hundred twelve billion, seven hundred forty-one million, one hundred thirty-four thousand, six hundred sixty".