Search a number
-
+
112341204002000 = 2453236141579631
BaseRepresentation
bin11001100010110001111001…
…100011101110010011010000
3112201202201021122220211120102
4121202301321203232103100
5104211044241211031000
61034532500414431532
732443245522265061
oct3142617143562320
9481681248824512
10112341204002000
1132882700a25896
1210724589b025a8
134a8b964cac8ac
141da54b3d92568
15cec3bc4123d5
hex662c798ee4d0

112341204002000 has 320 divisors, whose sum is σ = 288197482180608. Its totient is φ = 42263527680000.

The previous prime is 112341204001981. The next prime is 112341204002017. The reversal of 112341204002000 is 200402143211.

It is a super-2 number, since 2×1123412040020002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11664537185 + ... + 11664546815.

Almost surely, 2112341204002000 is an apocalyptic number.

112341204002000 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 112341204002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144098741090304).

112341204002000 is an abundant number, since it is smaller than the sum of its proper divisors (175856278178608).

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

112341204002000 is a wasteful number, since it uses less digits than its factorization.

112341204002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13895 (or 13879 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 112341204002000 its reverse (200402143211), we get a palindrome (112541606145211).

The spelling of 112341204002000 in words is "one hundred twelve trillion, three hundred forty-one billion, two hundred four million, two thousand".