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331312020 = 2235132331823
BaseRepresentation
bin10011101111110…
…110101110010100
3212002102101122120
4103233312232110
51134303441040
652513055540
711132051154
oct2357665624
9762371576
10331312020
11160020696
1292b575b0
1353842020
1432004764
151e1467d0
hex13bf6b94

331312020 has 96 divisors (see below), whose sum is σ = 1003871232. Its totient is φ = 81159168.

The previous prime is 331312019. The next prime is 331312027. The reversal of 331312020 is 20213133.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331312027) 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, 180829 + ... + 182651.

It is an arithmetic number, because the mean of its divisors is an integer number (10456992).

Almost surely, 2331312020 is an apocalyptic number.

331312020 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 331312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501935616).

331312020 is an abundant number, since it is smaller than the sum of its proper divisors (672559212).

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

331312020 is a wasteful number, since it uses less digits than its factorization.

331312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2079 counting only the distinct ones).

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

The square root of 331312020 is about 18201.9784638923. The cubic root of 331312020 is about 691.9569315083.

Adding to 331312020 its reverse (20213133), we get a palindrome (351525153).

The spelling of 331312020 in words is "three hundred thirty-one million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 233 260 390 466 699 780 932 1165 1398 1823 2330 2796 3029 3495 3646 4660 5469 6058 6990 7292 9087 9115 10938 12116 13980 15145 18174 18230 21876 23699 27345 30290 36348 36460 45435 47398 54690 60580 71097 90870 94796 109380 118495 142194 181740 236990 284388 355485 424759 473980 710970 849518 1274277 1421940 1699036 2123795 2548554 4247590 5097108 5521867 6371385 8495180 11043734 12742770 16565601 22087468 25485540 27609335 33131202 55218670 66262404 82828005 110437340 165656010 331312020