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132302011412020 = 225236831489128279
BaseRepresentation
bin11110000101001111110110…
…011001001010111000110100
3122100102221121122121111001111
4132011033312121022320310
5114320114004410141040
61145214412135404404
736603335114644162
oct3605176631127064
9570387548544044
10132302011412020
1139178a7137699a
1212a09023b23704
1358a9045589988
142495646d7a232
15104672b5eddea
hex7853f664ae34

132302011412020 has 96 divisors (see below), whose sum is σ = 290368209438720. Its totient is φ = 50540604301440.

The previous prime is 132302011411949. The next prime is 132302011412023. The reversal of 132302011412020 is 20214110203231.

It is a junction number, because it is equal to n+sod(n) for n = 132302011411982 and 132302011412000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132302011412023) 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, 4678440241 + ... + 4678468519.

It is an arithmetic number, because the mean of its divisors is an integer number (3024668848320).

Almost surely, 2132302011412020 is an apocalyptic number.

132302011412020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132302011412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145184104719360).

132302011412020 is an abundant number, since it is smaller than the sum of its proper divisors (158066198026700).

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

132302011412020 is a wasteful number, since it uses less digits than its factorization.

132302011412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43885 (or 43883 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 132302011412020 its reverse (20214110203231), we get a palindrome (152516121615251).

The spelling of 132302011412020 in words is "one hundred thirty-two trillion, three hundred two billion, eleven million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 683 1366 2732 3415 6830 13660 14891 15709 28279 29782 31418 56558 59564 62836 74455 78545 113116 141395 148910 157090 282790 297820 314180 342493 565580 650417 684986 1300834 1369972 1712465 2601668 3252085 3424930 6504170 6849860 10170553 13008340 19314557 20341106 38629114 40682212 50852765 77258228 96572785 101705530 193145570 203411060 233922719 386291140 421102589 444234811 467845438 842205178 888469622 935690876 1169613595 1684410356 1776939244 2105512945 2221174055 2339227190 4211025890 4442348110 4678454380 8422051780 8884696220 9685359547 19370719094 38741438188 48426797735 96853595470 193707190940 287613068287 575226136574 1150452273148 1438065341435 2876130682870 5752261365740 6615100570601 13230201141202 26460402282404 33075502853005 66151005706010 132302011412020