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331220012120 = 23531734797639
BaseRepresentation
bin1001101000111100100…
…00000100110001011000
31011122221021212222010022
410310132100010301120
520411314310341440
6412054350210012
732633640436004
oct4643620046130
91148837788108
10331220012120
11118519075508
1254238ab3908
1325306ba3c6a
1412061609704
158938477cb5
hex4d1e404c58

331220012120 has 128 divisors (see below), whose sum is σ = 781553664000. Its totient is φ = 126177315840.

The previous prime is 331220012117. The next prime is 331220012129. The reversal of 331220012120 is 21210022133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331220012129) 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, 43355261 + ... + 43362899.

It is an arithmetic number, because the mean of its divisors is an integer number (6105888000).

Almost surely, 2331220012120 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 331220012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390776832000).

331220012120 is an abundant number, since it is smaller than the sum of its proper divisors (450333651880).

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

331220012120 is a wasteful number, since it uses less digits than its factorization.

331220012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 331220012120 its reverse (21210022133), we get a palindrome (352430034253).

The spelling of 331220012120 in words is "three hundred thirty-one billion, two hundred twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 73 124 146 155 248 292 310 365 479 584 620 730 958 1240 1460 1916 2263 2395 2920 3832 4526 4790 7639 9052 9580 11315 14849 15278 18104 19160 22630 29698 30556 34967 38195 45260 59396 61112 69934 74245 76390 90520 118792 139868 148490 152780 174835 236809 279736 296980 305560 349670 473618 557647 593960 699340 947236 1083977 1115294 1184045 1398680 1894472 2167954 2230588 2368090 2788235 3659081 4335908 4461176 4736180 5419885 5576470 7318162 8671816 9472360 10839770 11152940 14636324 17287057 18295405 21679540 22305880 29272648 34574114 36590810 43359080 69148228 73181620 86435285 113431511 138296456 146363240 172870570 226863022 267112913 345741140 453726044 534225826 567157555 691482280 907452088 1068451652 1134315110 1335564565 2136903304 2268630220 2671129130 4537260440 5342258260 8280500303 10684516520 16561000606 33122001212 41402501515 66244002424 82805003030 165610006060 331220012120