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132220315045005 = 35112412035387299
BaseRepresentation
bin11110000100000011110000…
…111010010000110010001101
3122100011010202002111000222120
4132010003300322100302031
5114312244201122420010
61145113101343003153
736564413444201145
oct3604036072206215
9570133662430876
10132220315045005
1139147358959200
12129b5223b994b9
1358a1425b7b0c5
1424916d6bc3925
151044549247e70
hex7840f0e90c8d

132220315045005 has 96 divisors (see below), whose sum is σ = 238218884668800. Its totient is φ = 62539449139200.

The previous prime is 132220315045001. The next prime is 132220315045043. The reversal of 132220315045005 is 500540513022231.

It is not a de Polignac number, because 132220315045005 - 22 = 132220315045001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220315045001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1514524846 + ... + 1514612144.

It is an arithmetic number, because the mean of its divisors is an integer number (2481446715300).

Almost surely, 2132220315045005 is an apocalyptic number.

132220315045005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132220315045005 is a deficient number, since it is larger than the sum of its proper divisors (105998569623795).

132220315045005 is a wasteful number, since it uses less digits than its factorization.

132220315045005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107723 (or 107712 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 132220315045005 its reverse (500540513022231), we get a palindrome (632760828067236).

The spelling of 132220315045005 in words is "one hundred thirty-two trillion, two hundred twenty billion, three hundred fifteen million, forty-five thousand, five".

Divisors: 1 3 5 11 15 33 41 55 121 123 165 205 363 451 605 615 1353 1815 2255 4961 6765 14883 20353 24805 61059 74415 87299 101765 223883 261897 305295 436495 671649 834473 960289 1119415 1309485 2462713 2503419 2880867 3358245 3579259 4172365 4801445 7388139 9179203 10563179 10737777 12313565 12517095 14404335 17896295 27537609 31689537 36940695 39371849 45896015 52815895 53688885 100971233 118115547 137688045 158447685 196859245 302913699 433090339 504856165 590577735 1299271017 1514568495 1776796547 2165451695 5330389641 6496355085 8883982735 19544762017 26651948205 58634286051 72848658427 97723810085 214992382187 218545975281 293171430255 364243292135 644977146561 801335242697 1074961910935 1092729876405 2404005728091 3224885732805 4006676213485 8814687669667 12020028640455 26444063009001 44073438348335 132220315045005