Search a number
-
+
112010111122000 = 24537131763157373
BaseRepresentation
bin11001011101111101100010…
…111000100111101001010000
3112200121001200020020211221011
4121131331202320213221100
5104140133201421401000
61034120422405140304
732410314654243460
oct3135754270475120
9480531606224834
10112010111122000
11327652486a3653
12106903876ba694
134a6667b55bc50
141d934655dbba0
15ce39901ed2ba
hex65df62e27a50

112010111122000 has 640 divisors, whose sum is σ = 353515961530368. Its totient is φ = 33310642176000.

The previous prime is 112010111121913. The next prime is 112010111122031. The reversal of 112010111122000 is 221111010211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1952285314 + ... + 1952342686.

Almost surely, 2112010111122000 is an apocalyptic number.

112010111122000 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 112010111122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176757980765184).

112010111122000 is an abundant number, since it is smaller than the sum of its proper divisors (241505850408368).

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

112010111122000 is a wasteful number, since it uses less digits than its factorization.

112010111122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58064 (or 58048 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112010111122000 its reverse (221111010211), we get a palindrome (112231222132211).

The spelling of 112010111122000 in words is "one hundred twelve trillion, ten billion, one hundred eleven million, one hundred twenty-two thousand".