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331190112 = 253113167151
BaseRepresentation
bin10011101111011…
…000111101100000
3212002012012102110
4103233120331200
51134241040422
652510315320
711131032561
oct2357307540
9762165373
10331190112
1115aa48040
1292ab8b40
13537cb6a6
1431db2168
151e12060c
hex13bd8f60

331190112 has 192 divisors, whose sum is σ = 1000194048. Its totient is φ = 95040000.

The previous prime is 331190099. The next prime is 331190113. The reversal of 331190112 is 211091133.

331190112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331190113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2193237 + ... + 2193387.

It is an arithmetic number, because the mean of its divisors is an integer number (5209344).

Almost surely, 2331190112 is an apocalyptic number.

331190112 is a gapful number since it is divisible by the number (32) 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 331190112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500097024).

331190112 is an abundant number, since it is smaller than the sum of its proper divisors (669003936).

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

331190112 is a wasteful number, since it uses less digits than its factorization.

331190112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 331190112 is about 18198.6293989410. The cubic root of 331190112 is about 691.8720513662.

The spelling of 331190112 in words is "three hundred thirty-one million, one hundred ninety thousand, one hundred twelve".