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331320230120 = 235112104965257
BaseRepresentation
bin1001101001001000011…
…10011000000011101000
31011200012021110120101002
410310210032120003220
520412020434330440
6412112330214132
732636265326525
oct4644416300350
91150167416332
10331320230120
1111856a6a5800
1254266584348
1325321892a59
1412070a5614c
158942172115
hex4d243980e8

331320230120 has 96 divisors (see below), whose sum is σ = 820195173000. Its totient is φ = 120363386880.

The previous prime is 331320230119. The next prime is 331320230149. The reversal of 331320230120 is 21032023133.

It can be written as a sum of positive squares in 4 ways, for example, as 273213199204 + 58107030916 = 522698^2 + 241054^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 331320230092 and 331320230101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5044532 + ... + 5109788.

Almost surely, 2331320230120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331320230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410097586500).

331320230120 is an abundant number, since it is smaller than the sum of its proper divisors (488874942880).

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

331320230120 is a wasteful number, since it uses less digits than its factorization.

331320230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66339 (or 66324 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 331320230120 its reverse (21032023133), we get a palindrome (352352253253).

The spelling of 331320230120 in words is "three hundred thirty-one billion, three hundred twenty million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1049 1210 2098 2420 4196 4840 5245 8392 10490 11539 20980 23078 41960 46156 57695 65257 92312 115390 126929 130514 230780 253858 261028 326285 461560 507716 522056 634645 652570 717827 1015432 1269290 1305140 1435654 2538580 2610280 2871308 3589135 5077160 5742616 7178270 7896097 14356540 15792194 28713080 31584388 39480485 63168776 68454593 78960970 136909186 157921940 273818372 315843880 342272965 547636744 684545930 753000523 1369091860 1506001046 2738183720 3012002092 3765002615 6024004184 7530005230 8283005753 15060010460 16566011506 30120020920 33132023012 41415028765 66264046024 82830057530 165660115060 331320230120