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32002031230230 = 23519859120154421
BaseRepresentation
bin1110100011011000011011…
…01101000001110100010110
311012022100211120122210111110
413101230031231001310112
513143310124443331410
6152021310304315450
76512033111150265
oct721541555016426
9135270746583443
1032002031230230
11a218a9237a206
12370a25b612b86
1314b1a177638a9
147c8c999045dc
153a76a6287720
hex1d1b0db41d16

32002031230230 has 128 divisors (see below), whose sum is σ = 81010238169600. Its totient is φ = 8068439808000.

The previous prime is 32002031230177. The next prime is 32002031230231. The reversal of 32002031230230 is 3203213020023.

It is a junction number, because it is equal to n+sod(n) for n = 32002031230197 and 32002031230206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32002031230231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 588018420 + ... + 588072840.

It is an arithmetic number, because the mean of its divisors is an integer number (632892485700).

Almost surely, 232002031230230 is an apocalyptic number.

32002031230230 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 32002031230230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40505119084800).

32002031230230 is an abundant number, since it is smaller than the sum of its proper divisors (49008206939370).

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

32002031230230 is a wasteful number, since it uses less digits than its factorization.

32002031230230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56510.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 32002031230230 its reverse (3203213020023), we get a palindrome (35205244250253).

The spelling of 32002031230230 in words is "thirty-two trillion, two billion, thirty-one million, two hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 859 1201 1718 2402 2577 3603 4295 5154 6005 7206 8590 12010 12885 16321 18015 22819 25770 32642 36030 45638 48963 54421 68457 81605 97926 108842 114095 136914 163210 163263 228190 244815 272105 326526 342285 489630 544210 684570 816315 1031659 1033999 1632630 2063318 2067998 3094977 3101997 5158295 5169995 6189954 6203994 10316590 10339990 15474885 15509985 19601521 30949770 31019970 39203042 46747639 58804563 65359621 93495278 98007605 117609126 130719242 140242917 196015210 196078863 233738195 280485834 294022815 326798105 392157726 467476390 588045630 653596210 701214585 888205141 980394315 1241832799 1402429170 1776410282 1960788630 2483665598 2664615423 3725498397 4441025705 5329230846 6209163995 7450996794 8882051410 12418327990 13323077115 18627491985 26646154230 37254983970 56143914439 112287828878 168431743317 280719572195 336863486634 561439144390 842158716585 1066734374341 1684317433170 2133468748682 3200203123023 5333671871705 6400406246046 10667343743410 16001015615115 32002031230230