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132302254110030 = 23254321395719697
BaseRepresentation
bin11110000101010000000100…
…110110111111010101001110
3122100102222020120021211010200
4132011100010312333111032
5114320120004023010110
61145214452205314330
736603344122564434
oct3605200466772516
9570388216254120
10132302254110030
1139179086372564
1212a090912659a6
1358a9083943874
14249566b2b4d54
151046742a8e6c0
hex785404dbf54e

132302254110030 has 144 divisors (see below), whose sum is σ = 354705241166640. Its totient is φ = 34212201472512.

The previous prime is 132302254110017. The next prime is 132302254110077. The reversal of 132302254110030 is 30011452203231.

132302254110030 is a `hidden beast` number, since 1 + 3 + 2 + 302 + 254 + 1 + 100 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132302254109976 and 132302254110003.

It is a congruent number.

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, 20271142 + ... + 25990838.

It is an arithmetic number, because the mean of its divisors is an integer number (2463230841435).

Almost surely, 2132302254110030 is an apocalyptic number.

132302254110030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132302254110030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177352620583320).

132302254110030 is an abundant number, since it is smaller than the sum of its proper divisors (222402987056610).

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

132302254110030 is a wasteful number, since it uses less digits than its factorization.

132302254110030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719935 (or 5719889 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 132302254110030 in words is "one hundred thirty-two trillion, three hundred two billion, two hundred fifty-four million, one hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 139 215 258 278 387 417 430 645 695 774 834 1251 1290 1390 1849 1935 2085 2502 3698 3870 4170 5547 5977 6255 9245 11094 11954 12510 16641 17931 18490 27735 29885 33282 35862 53793 55470 59770 83205 89655 107586 166410 179310 257011 268965 514022 537930 771033 1285055 1542066 2313099 2570110 3855165 4626198 5719697 7710330 11439394 11565495 17159091 23130990 28598485 34318182 51477273 57196970 85795455 102954546 171590910 245946971 257386365 491893942 514772730 737840913 795037883 1229734855 1475681826 1590075766 2213522739 2385113649 2459469710 3689204565 3975189415 4427045478 4770227298 7155340947 7378409130 7950378830 10575719753 11067613695 11925568245 14310681894 21151439506 22135227390 23851136490 31727159259 34186628969 35776704735 52878598765 63454318518 68373257938 71553409470 95181477777 102559886907 105757197530 158635796295 170933144845 190362955554 205119773814 307679660721 317271592590 341866289690 475907388885 512799434535 615359321442 951814777770 1025598869070 1470025045667 1538398303605 2940050091334 3076796607210 4410075137001 7350125228335 8820150274002 13230225411003 14700250456670 22050375685005 26460450822006 44100751370010 66151127055015 132302254110030