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331110112 = 25194711587
BaseRepresentation
bin10011101111000…
…101011011100000
3212002001010200111
4103233011123200
51134231010422
652504501104
711130250414
oct2357053340
9762033614
10331110112
1115a9a2a23
1292a7a794
13537a1158
1431d90d44
151e106a77
hex13bc56e0

331110112 has 48 divisors (see below), whose sum is σ = 700842240. Its totient is φ = 153491328.

The previous prime is 331110107. The next prime is 331110113. The reversal of 331110112 is 211011133.

It is a junction number, because it is equal to n+sod(n) for n = 331110092 and 331110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331110113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22783 + ... + 34369.

It is an arithmetic number, because the mean of its divisors is an integer number (14600880).

Almost surely, 2331110112 is an apocalyptic number.

331110112 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 331110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350421120).

331110112 is an abundant number, since it is smaller than the sum of its proper divisors (369732128).

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

331110112 is a wasteful number, since it uses less digits than its factorization.

331110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11663 (or 11655 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 331110112 is about 18196.4312984717. The cubic root of 331110112 is about 691.8163389326.

Adding to 331110112 its reverse (211011133), we get a palindrome (542121245).

The spelling of 331110112 in words is "three hundred thirty-one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 47 76 94 152 188 304 376 608 752 893 1504 1786 3572 7144 11587 14288 23174 28576 46348 92696 185392 220153 370784 440306 544589 880612 1089178 1761224 2178356 3522448 4356712 7044896 8713424 10347191 17426848 20694382 41388764 82777528 165555056 331110112