Search a number
-
+
112342105008 = 24347127281347
BaseRepresentation
bin110100010100000011…
…1000111101110110000
3101201222022111020110000
41220220013013232300
53320034034330013
6123335333110000
711054641064640
oct1505007075660
9351868436400
10112342105008
114370a20a291
1219933188300
13a7947c4a63
14561a292520
152dc7a34973
hex1a281c7bb0

112342105008 has 400 divisors, whose sum is σ = 376942731264. Its totient is φ = 31640232960.

The previous prime is 112342104977. The next prime is 112342105061. The reversal of 112342105008 is 800501243211.

112342105008 is a `hidden beast` number, since 112 + 3 + 42 + 1 + 0 + 500 + 8 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 323752291 + ... + 323752637.

Almost surely, 2112342105008 is an apocalyptic number.

112342105008 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 112342105008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188471365632).

112342105008 is an abundant number, since it is smaller than the sum of its proper divisors (264600626256).

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

112342105008 is a wasteful number, since it uses less digits than its factorization.

112342105008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 112342105008 its reverse (800501243211), we get a palindrome (912843348219).

The spelling of 112342105008 in words is "one hundred twelve billion, three hundred forty-two million, one hundred five thousand, eight".