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132231111033330 = 233533110723137983
BaseRepresentation
bin11110000100001101110100…
…011001101100000111110010
3122100012011121111001001211000
4132010031310121230013302
5114312433303411031310
61145122044522302430
736565245125450601
oct3604156431540762
9570164544031730
10132231111033330
1139150998a14001
12129b7337657a16
1358a245674548a
14249203c949a38
15104497be394c0
hex78437466c1f2

132231111033330 has 128 divisors (see below), whose sum is σ = 353717149040640. Its totient is φ = 35151565775040.

The previous prime is 132231111033247. The next prime is 132231111033337. The reversal of 132231111033330 is 33330111132231.

132231111033330 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 311 + 1 + 10 + 3 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 132231111033294 and 132231111033303.

It is not an unprimeable number, because it can be changed into a prime (132231111033337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 958245519 + ... + 958383501.

It is an arithmetic number, because the mean of its divisors is an integer number (2763415226880).

Almost surely, 2132231111033330 is an apocalyptic number.

132231111033330 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 132231111033330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176858574520320).

132231111033330 is an abundant number, since it is smaller than the sum of its proper divisors (221486038007310).

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

132231111033330 is a wasteful number, since it uses less digits than its factorization.

132231111033330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149053 (or 149047 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 132231111033330 its reverse (33330111132231), we get a palindrome (165561222165561).

The spelling of 132231111033330 in words is "one hundred thirty-two trillion, two hundred thirty-one billion, one hundred eleven million, thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 331 662 993 1655 1986 2979 3310 4965 5958 8937 9930 10723 14895 17874 21446 29790 32169 44685 53615 64338 89370 96507 107230 137983 160845 193014 275966 289521 321690 413949 482535 579042 689915 827898 965070 1241847 1379830 1447605 2069745 2483694 2895210 3549313 3725541 4139490 6209235 7098626 7451082 10647939 12418470 17746565 18627705 21295878 31943817 35493130 37255410 45672373 53239695 63887634 91344746 95831451 106479390 137017119 159719085 191662902 228361865 274034238 319438170 411051357 456723730 479157255 685085595 822102714 958314510 1233154071 1370171190 1479591709 2055256785 2466308142 2959183418 4110513570 4438775127 6165770355 7397958545 8877550254 12331540710 13316325381 14795917090 22193875635 26632650762 39948976143 44387751270 66581626905 79897952286 133163253810 199744880715 399489761430 489744855679 979489711358 1469234567037 2448724278395 2938469134074 4407703701111 4897448556790 7346172835185 8815407402222 13223111103333 14692345670370 22038518505555 26446222206666 44077037011110 66115555516665 132231111033330