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112132312110 = 232571337273137
BaseRepresentation
bin110100001101110011…
…0110100110000101110
3101201102200201122200200
41220123212310300232
53314121332441420
6123302440334330
711046512632560
oct1503346646056
9351380648620
10112132312110
1143611848825
1219894a743a6
13a7601bc250
1455da481330
152db43e3b90
hex1a1b9b4c2e

112132312110 has 576 divisors, whose sum is σ = 376563987072. Its totient is φ = 22538207232.

The previous prime is 112132312093. The next prime is 112132312121. The reversal of 112132312110 is 11213231211.

112132312110 is a `hidden beast` number, since 11 + 213 + 231 + 211 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 818483962 + ... + 818484098.

It is an arithmetic number, because the mean of its divisors is an integer number (653756922).

Almost surely, 2112132312110 is an apocalyptic number.

112132312110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112132312110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188281993536).

112132312110 is an abundant number, since it is smaller than the sum of its proper divisors (264431674962).

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

112132312110 is a wasteful number, since it uses less digits than its factorization.

112132312110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112132312110 its reverse (11213231211), we get a palindrome (123345543321).

The spelling of 112132312110 in words is "one hundred twelve billion, one hundred thirty-two million, three hundred twelve thousand, one hundred ten".