Search a number
-
+
112741611048 = 233311234434657
BaseRepresentation
bin110100011111111101…
…1000111011000101000
3101210000011020020201000
41220333323013120220
53321343323023143
6123443123555000
711100561611403
oct1507773073050
9353004206630
10112741611048
11438a4778070
1219a24b2ba60
13a8294c2571
145657368d3a
152decb4bbd3
hex1a3fec7628

112741611048 has 256 divisors, whose sum is σ = 357376665600. Its totient is φ = 32597959680.

The previous prime is 112741611023. The next prime is 112741611089. The reversal of 112741611048 is 840116147211.

It is a happy number.

112741611048 is a `hidden beast` number, since 1 + 127 + 416 + 110 + 4 + 8 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24206736 + ... + 24211392.

It is an arithmetic number, because the mean of its divisors is an integer number (1396002600).

Almost surely, 2112741611048 is an apocalyptic number.

112741611048 is a gapful number since it is divisible by the number (18) 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 112741611048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178688332800).

112741611048 is an abundant number, since it is smaller than the sum of its proper divisors (244635054552).

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

112741611048 is a wasteful number, since it uses less digits than its factorization.

112741611048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 112741611048 its reverse (840116147211), we get a palindrome (952857758259).

The spelling of 112741611048 in words is "one hundred twelve billion, seven hundred forty-one million, six hundred eleven thousand, forty-eight".