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112231020000 = 2535411170047
BaseRepresentation
bin110100010000101111…
…1010111010111100000
3101201200120110112110110
41220201133113113200
53314322120120000
6123320324131320
711052121633641
oct1504137272740
9351616415413
10112231020000
11436625374a0
1219901b36b40
13a77779c898
1456096176c8
152dbcde0850
hex1a217d75e0

112231020000 has 240 divisors, whose sum is σ = 401609843712. Its totient is φ = 27207360000.

The previous prime is 112231019993. The next prime is 112231020001. The reversal of 112231020000 is 20132211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112231020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 574977 + ... + 745023.

Almost surely, 2112231020000 is an apocalyptic number.

112231020000 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 112231020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200804921856).

112231020000 is an abundant number, since it is smaller than the sum of its proper divisors (289378823712).

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

112231020000 is a wasteful number, since it uses less digits than its factorization.

112231020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170091 (or 170068 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 112231020000 its reverse (20132211), we get a palindrome (112251152211).

The spelling of 112231020000 in words is "one hundred twelve billion, two hundred thirty-one million, twenty thousand".