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112132332032 = 297236779257
BaseRepresentation
bin110100001101110011…
…0111001101000000000
3101201102200202200000112
41220123212321220000
53314121334111112
6123302441010452
711046513044630
oct1503346715000
9351380680015
10112132332032
1143611861796
1219894a83a28
13a7601c8336
1455da4886c0
152db43e9a22
hex1a1b9b9a00

112132332032 has 320 divisors, whose sum is σ = 275673784320. Its totient is φ = 44534071296.

The previous prime is 112132332017. The next prime is 112132332043. The reversal of 112132332032 is 230233231211.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 112132331989 and 112132332007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436312448 + ... + 436312704.

It is an arithmetic number, because the mean of its divisors is an integer number (861480576).

Almost surely, 2112132332032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112132332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137836892160).

112132332032 is an abundant number, since it is smaller than the sum of its proper divisors (163541452288).

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

112132332032 is an equidigital number, since it uses as much as digits as its factorization.

112132332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 112132332032 its reverse (230233231211), we get a palindrome (342365563243).

The spelling of 112132332032 in words is "one hundred twelve billion, one hundred thirty-two million, three hundred thirty-two thousand, thirty-two".