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331320120 = 233522712163
BaseRepresentation
bin10011101111111…
…000101100111000
3212002102210202120
4103233320230320
51134304220440
652513201240
711132113605
oct2357705470
9762383676
10331320120
1116002678a
1292b60220
1353845911
14320076ac
151e148dd0
hex13bf8b38

331320120 has 64 divisors (see below), whose sum is σ = 998421120. Its totient is φ = 87955584.

The previous prime is 331320109. The next prime is 331320127. The reversal of 331320120 is 21023133.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 331320120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331320127) 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 15 ways as a sum of consecutive naturals, for example, 21159 + ... + 33321.

It is an arithmetic number, because the mean of its divisors is an integer number (15600330).

Almost surely, 2331320120 is an apocalyptic number.

331320120 is a gapful number since it is divisible by the number (30) 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 331320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499210560).

331320120 is an abundant number, since it is smaller than the sum of its proper divisors (667101000).

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

331320120 is a wasteful number, since it uses less digits than its factorization.

331320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12404 (or 12400 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 331320120 is about 18202.2009658173. The cubic root of 331320120 is about 691.9625705083.

Adding to 331320120 its reverse (21023133), we get a palindrome (352343253).

The spelling of 331320120 in words is "three hundred thirty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 908 1135 1362 1816 2270 2724 3405 4540 5448 6810 9080 12163 13620 24326 27240 36489 48652 60815 72978 97304 121630 145956 182445 243260 291912 364890 486520 729780 1459560 2761001 5522002 8283003 11044004 13805005 16566006 22088008 27610010 33132012 41415015 55220020 66264024 82830030 110440040 165660060 331320120