Search a number
-
+
112052132136 = 23347231576841
BaseRepresentation
bin110100001011011010…
…0111101100100101000
3101201020002212002110000
41220112310331210220
53313440321212021
6123250454023000
711044520256660
oct1502664754450
9351202762400
10112052132136
114358056438a
1219872047a60
13a7496c7c89
1455cd96d1a0
152dac356b26
hex1a16d3d928

112052132136 has 320 divisors, whose sum is σ = 376719425280. Its totient is φ = 30423444480.

The previous prime is 112052132083. The next prime is 112052132173. The reversal of 112052132136 is 631231250211.

112052132136 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 521 + 3 + 2 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16376076 + ... + 16382916.

It is an arithmetic number, because the mean of its divisors is an integer number (1177248204).

Almost surely, 2112052132136 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 112052132136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188359712640).

112052132136 is an abundant number, since it is smaller than the sum of its proper divisors (264667293144).

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

112052132136 is a wasteful number, since it uses less digits than its factorization.

112052132136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7046 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 112052132136 its reverse (631231250211), we get a palindrome (743283382347).

The spelling of 112052132136 in words is "one hundred twelve billion, fifty-two million, one hundred thirty-two thousand, one hundred thirty-six".