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331213230023130 = 232571323110859679
BaseRepresentation
bin100101101001111001001011…
…0111010111010000111011010
31121102201200020110222021012100
41023103302112322322013122
5321403044143341220010
63132233131325224230
7126523236414210330
oct11323622672720732
91542650213867170
10331213230023130
1196597818700884
1231193414702076
13112a737306a400
145bb0b3d431b50
152845939a602c0
hex12d3c96eba1da

331213230023130 has 144 divisors (see below), whose sum is σ = 1065705865735680. Its totient is φ = 69882351806592.

The previous prime is 331213230023063. The next prime is 331213230023149. The reversal of 331213230023130 is 31320032312133.

331213230023130 is a `hidden beast` number, since 3 + 3 + 1 + 21 + 323 + 0 + 0 + 2 + 313 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 331213230023094 and 331213230023103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1555323370 + ... + 1555536309.

It is an arithmetic number, because the mean of its divisors is an integer number (7400735178720).

Almost surely, 2331213230023130 is an apocalyptic number.

331213230023130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331213230023130 is an abundant number, since it is smaller than the sum of its proper divisors (734492635712550).

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

331213230023130 is a wasteful number, since it uses less digits than its factorization.

331213230023130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110859725 (or 3110859709 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 331213230023130 its reverse (31320032312133), we get a palindrome (362533262335263).

The spelling of 331213230023130 in words is "three hundred thirty-one trillion, two hundred thirteen billion, two hundred thirty million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 169 182 195 210 234 273 315 338 390 455 507 546 585 630 819 845 910 1014 1170 1183 1365 1521 1638 1690 2366 2535 2730 3042 3549 4095 5070 5915 7098 7605 8190 10647 11830 15210 17745 21294 35490 53235 106470 3110859679 6221719358 9332579037 15554298395 18665158074 21776017753 27997737111 31108596790 40441175827 43552035506 46662895185 55995474222 65328053259 80882351654 93325790370 108880088765 121323527481 130656106518 139988685555 195984159777 202205879135 217760177530 242647054962 279977371110 283088230789 326640266295 363970582443 391968319554 404411758270 525735285751 566176461578 606617637405 653280532590 727941164886 849264692367 979920798885 1051470571502 1213235274810 1415441153945 1577205857253 1698529384734 1819852912215 1959841597770 2547794077101 2628676428755 2830882307890 3154411714506 3639705824430 3680147000257 4246323461835 4731617571759 5095588154202 5257352857510 7360294000514 7886029286265 8492646923670 9463235143518 11040441000771 12738970385505 15772058572530 18400735001285 22080882001542 23658087858795 25477940771010 33121323002313 36801470002570 47316175717590 55202205003855 66242646004626 110404410007710 165606615011565 331213230023130