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112031132220 = 2232571931314951
BaseRepresentation
bin110100001010110010…
…0110110101000111100
3101201011122100011222100
41220111210312220330
53313414432212340
6123244423545100
711044143624510
oct1502544665074
9351148304870
10112031132220
114356a720887
1219866bbb190
13a7452546a7
1455cac64140
152daa5a9830
hex1a15936a3c

112031132220 has 288 divisors, whose sum is σ = 410148910080. Its totient is φ = 24180249600.

The previous prime is 112031132219. The next prime is 112031132299. The reversal of 112031132220 is 22231130211.

112031132220 is a `hidden beast` number, since 1 + 12 + 0 + 311 + 322 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112031132193 and 112031132202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7485745 + ... + 7500695.

It is an arithmetic number, because the mean of its divisors is an integer number (1424128160).

Almost surely, 2112031132220 is an apocalyptic number.

112031132220 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 112031132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205074455040).

112031132220 is an abundant number, since it is smaller than the sum of its proper divisors (298117777860).

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

112031132220 is a wasteful number, since it uses less digits than its factorization.

112031132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15305 (or 15300 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112031132220 its reverse (22231130211), we get a palindrome (134262262431).

The spelling of 112031132220 in words is "one hundred twelve billion, thirty-one million, one hundred thirty-two thousand, two hundred twenty".