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112112031312 = 24352310112413
BaseRepresentation
bin110100001101001100…
…1011101011001010000
3101201101021120021200000
41220122121131121100
53314101140000222
6123300433530000
711046145354101
oct1503231353120
9351337507600
10112112031312
1143601356536
121988a113900
13a758c3b088
1455d78c23a8
152db27399ac
hex1a1a65d650

112112031312 has 240 divisors, whose sum is σ = 342914802048. Its totient is φ = 35389094400.

The previous prime is 112112031293. The next prime is 112112031319. The reversal of 112112031312 is 213130211211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112031319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9025618 + ... + 9038030.

Almost surely, 2112112031312 is an apocalyptic number.

112112031312 is a gapful number since it is divisible by the number (12) 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 112112031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171457401024).

112112031312 is an abundant number, since it is smaller than the sum of its proper divisors (230802770736).

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

112112031312 is a wasteful number, since it uses less digits than its factorization.

112112031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12560 (or 12542 counting only the distinct ones).

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

Adding to 112112031312 its reverse (213130211211), we get a palindrome (325242242523).

The spelling of 112112031312 in words is "one hundred twelve billion, one hundred twelve million, thirty-one thousand, three hundred twelve".