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112235200000 = 2955711911
BaseRepresentation
bin110100010000110111…
…1010011111000000000
3101201200212022220100021
41220201233103320000
53314324202400000
6123320553503224
711052202313350
oct1504157237000
9351625286307
10112235200000
1143664931a40
1219903411b14
13a778604361
145609dc4b60
152dbd46911a
hex1a21bd3e00

112235200000 has 480 divisors, whose sum is σ = 349843608576. Its totient is φ = 34944000000.

The previous prime is 112235199959. The next prime is 112235200009. The reversal of 112235200000 is 2532211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112235200009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123199545 + ... + 123200455.

Almost surely, 2112235200000 is an apocalyptic number.

112235200000 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 112235200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174921804288).

112235200000 is an abundant number, since it is smaller than the sum of its proper divisors (237608408576).

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

112235200000 is an frugal number, since it uses more digits than its factorization.

112235200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 112235200000 its reverse (2532211), we get a palindrome (112237732211).

The spelling of 112235200000 in words is "one hundred twelve billion, two hundred thirty-five million, two hundred thousand".