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132300332133120 = 2832511484403831
BaseRepresentation
bin11110000101001110010010…
…010011001110101100000000
3122100102210021121202021110200
4132011032102103032230000
5114320102040011224440
61145213533350525200
736603245364213264
oct3605162223165400
9570383247667420
10132300332133120
113917828a476898
1212a08835666800
1358a8b386b6b18
142495527d2a0a4
15104667de8ec30
hex7853924ceb00

132300332133120 has 108 divisors (see below), whose sum is σ = 457745367935856. Its totient is φ = 35280088565760.

The previous prime is 132300332133103. The next prime is 132300332133131. The reversal of 132300332133120 is 21331233003231.

132300332133120 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 0 + 3 + 321 + 331 + 2 + 0 = 666.

132300332133120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5742190396 + ... + 5742213435.

Almost surely, 2132300332133120 is an apocalyptic number.

132300332133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132300332133120 is an abundant number, since it is smaller than the sum of its proper divisors (325445035802736).

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

132300332133120 is a wasteful number, since it uses less digits than its factorization.

132300332133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11484403858 (or 11484403841 counting only the distinct ones).

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

Adding to 132300332133120 its reverse (21331233003231), we get a palindrome (153631565136351).

The spelling of 132300332133120 in words is "one hundred thirty-two trillion, three hundred billion, three hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 11484403831 22968807662 34453211493 45937615324 57422019155 68906422986 91875230648 103359634479 114844038310 137812845972 172266057465 183750461296 206719268958 229688076620 275625691944 344532114930 367500922592 413438537916 459376153240 516798172395 551251383888 689064229860 735001845184 826877075832 918752306480 1033596344790 1102502767776 1378128459720 1470003690368 1653754151664 1837504612960 2067192689580 2205005535552 2756256919440 2940007380736 3307508303328 3675009225920 4134385379160 4410011071104 5512513838880 6615016606656 7350018451840 8268770758320 8820022142208 11025027677760 13230033213312 14700036903680 16537541516640 22050055355520 26460066426624 33075083033280 44100110711040 66150166066560 132300332133120