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331213021120020 = 223513432229654991
BaseRepresentation
bin100101101001111001000101…
…0011110000000011000010100
31121102201122200220212220000010
41023103302022132000120110
5321403043231401320040
63132233054503520220
7126523231266442344
oct11323621236003024
91542648626786003
10331213021120020
1196597720797886
1231193376759070
13112a733b9b68c0
145bb0b1d7b2d24
152845926547e80
hex12d3c8a780614

331213021120020 has 144 divisors (see below), whose sum is σ = 1022501188461312. Its totient is φ = 79633327092480.

The previous prime is 331213021119947. The next prime is 331213021120027. The reversal of 331213021120020 is 20021120312133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331213021120027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113385276 + ... + 116269715.

It is an arithmetic number, because the mean of its divisors is an integer number (7100702697648).

Almost surely, 2331213021120020 is an apocalyptic number.

331213021120020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331213021120020 is an abundant number, since it is smaller than the sum of its proper divisors (691288167341292).

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

331213021120020 is a wasteful number, since it uses less digits than its factorization.

331213021120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229655102 (or 229655057 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 331213021120020 its reverse (20021120312133), we get a palindrome (351234141432153).

The spelling of 331213021120020 in words is "three hundred thirty-one trillion, two hundred thirteen billion, twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 1849 2236 2580 2795 3354 3698 5547 5590 6708 7396 8385 9245 11094 11180 16770 18490 22188 24037 27735 33540 36980 48074 55470 72111 96148 110940 120185 144222 240370 288444 360555 480740 721110 1442220 229654991 459309982 688964973 918619964 1148274955 1377929946 2296549910 2755859892 2985514883 3444824865 4593099820 5971029766 6889649730 8956544649 9875164613 11942059532 13779299460 14927574415 17913089298 19750329226 29625493839 29855148830 35826178596 39500658452 44782723245 49375823065 59250987678 59710297660 89565446490 98751646130 118501975356 128377139969 148127469195 179130892980 197503292260 256754279938 296254938390 385131419907 424632078359 513508559876 592509876780 641885699845 770262839814 849264156718 1273896235077 1283771399690 1540525679628 1698528313436 1925657099535 2123160391795 2547792470154 2567542799380 3851314199070 4246320783590 5095584940308 5520217018667 6369481175385 7702628398140 8492641567180 11040434037334 12738962350770 16560651056001 22080868074668 25477924701540 27601085093335 33121302112002 55202170186670 66242604224004 82803255280005 110404340373340 165606510560010 331213021120020