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331013130 = 23572832713
BaseRepresentation
bin10011101110101…
…101110000001010
3212001212012122120
4103232231300022
51134214410010
652502432110
711126364600
oct2356556012
9761765576
10331013130
1115a937078
1292a32636
1353768c76
1431d67870
151e0d7e70
hex13badc0a

331013130 has 96 divisors (see below), whose sum is σ = 935613504. Its totient is φ = 74721024.

The previous prime is 331013119. The next prime is 331013149. The reversal of 331013130 is 31310133.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120654 + ... + 123366.

It is an arithmetic number, because the mean of its divisors is an integer number (9745974).

Almost surely, 2331013130 is an apocalyptic number.

331013130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467806752).

331013130 is an abundant number, since it is smaller than the sum of its proper divisors (604600374).

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

331013130 is a wasteful number, since it uses less digits than its factorization.

331013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 331013130 is about 18193.7662401164. The cubic root of 331013130 is about 691.7487881075.

Adding to 331013130 its reverse (31310133), we get a palindrome (362323263).

The spelling of 331013130 in words is "three hundred thirty-one million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 83 98 105 147 166 210 245 249 294 415 490 498 581 735 830 1162 1245 1470 1743 2490 2713 2905 3486 4067 5426 5810 8134 8139 8715 12201 13565 16278 17430 18991 20335 24402 27130 37982 40670 40695 56973 61005 81390 94955 113946 122010 132937 189910 225179 265874 284865 398811 450358 569730 664685 675537 797622 1125895 1329370 1351074 1576253 1994055 2251790 3152506 3377685 3988110 4728759 6755370 7881265 9457518 11033771 15762530 22067542 23643795 33101313 47287590 55168855 66202626 110337710 165506565 331013130