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112112213310 = 232529318915569
BaseRepresentation
bin110100001101001101…
…0001001110100111110
3101201101021220112022200
41220122122021310332
53314101211311220
6123300441452330
711046150042516
oct1503232116476
9351337815280
10112112213310
1143601470249
121988a1a10a6
13a758ca2b76
1455d792c846
152db2773890
hex1a1a689d3e

112112213310 has 192 divisors, whose sum is σ = 314788032000. Its totient is φ = 27618877440.

The previous prime is 112112213209. The next prime is 112112213347. The reversal of 112112213310 is 13312211211.

112112213310 is a `hidden beast` number, since 112 + 1 + 1 + 221 + 331 + 0 = 666.

112112213310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1121122133102 (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 7193206 + ... + 7208774.

It is an arithmetic number, because the mean of its divisors is an integer number (1639521000).

Almost surely, 2112112213310 is an apocalyptic number.

112112213310 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 112112213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157394016000).

112112213310 is an abundant number, since it is smaller than the sum of its proper divisors (202675818690).

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

112112213310 is a wasteful number, since it uses less digits than its factorization.

112112213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15731 (or 15728 counting only the distinct ones).

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

Adding to 112112213310 its reverse (13312211211), we get a palindrome (125424424521).

The spelling of 112112213310 in words is "one hundred twelve billion, one hundred twelve million, two hundred thirteen thousand, three hundred ten".