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132133233003300 = 2232521433102452689
BaseRepresentation
bin11110000010110010101010…
…011010101000101100100100
3122022211210222012020222010200
4132002302222122220230210
5114304332330122101200
61145005100320350500
736555211456101504
oct3602625232505444
9568753865228120
10132133233003300
11391134313623a1
12129a0380475430
135896158746889
14248b3d5653a04
15104214e156800
hex782caa6a8b24

132133233003300 has 108 divisors (see below), whose sum is σ = 414453301194660. Its totient is φ = 35210939811840.

The previous prime is 132133233003283. The next prime is 132133233003323. The reversal of 132133233003300 is 3300332331231.

132133233003300 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 3 + 23 + 300 + 330 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6126456628224 + 126006776375076 = 2475168^2 + 11225274^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49936645 + ... + 52516044.

Almost surely, 2132133233003300 is an apocalyptic number.

132133233003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132133233003300 is an abundant number, since it is smaller than the sum of its proper divisors (282320068191360).

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

132133233003300 is a wasteful number, since it uses less digits than its factorization.

132133233003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102454142 (or 102454132 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 132133233003300 its reverse (3300332331231), we get a palindrome (135433565334531).

The spelling of 132133233003300 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, two hundred thirty-three million, three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1433 2866 4299 5732 7165 8598 12897 14330 17196 21495 25794 28660 35825 42990 51588 64485 71650 85980 107475 128970 143300 214950 257940 322425 429900 644850 1289700 102452689 204905378 307358067 409810756 512263445 614716134 922074201 1024526890 1229432268 1536790335 1844148402 2049053780 2561317225 3073580670 3688296804 4610371005 5122634450 6147161340 7683951675 9220742010 10245268900 15367903350 18441484020 23051855025 30735806700 46103710050 92207420100 146814703337 293629406674 440444110011 587258813348 734073516685 880888220022 1321332330033 1468147033370 1761776440044 2202220550055 2642664660066 2936294066740 3670367583425 4404441100110 5285329320132 6606661650165 7340735166850 8808882200220 11011102750275 13213323300330 14681470333700 22022205500550 26426646600660 33033308250825 44044411001100 66066616501650 132133233003300