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132133333332 = 2237111311000111
BaseRepresentation
bin111101100001111000…
…0101010100101010100
3110122001121011210210110
41323003300222211110
54131102113131312
6140411243523020
712355246542030
oct1730360524524
9418047153713
10132133333332
1151045905030
1221737229470
13c5c9b63950
1465769511c0
1536852b243c
hex1ec3c2a954

132133333332 has 96 divisors (see below), whose sum is σ = 413956214784. Its totient is φ = 31680316800.

The previous prime is 132133333309. The next prime is 132133333369. The reversal of 132133333332 is 233333331231.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 132133333332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5488044 + ... + 5512067.

It is an arithmetic number, because the mean of its divisors is an integer number (4312043904).

Almost surely, 2132133333332 is an apocalyptic number.

132133333332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132133333332 is an abundant number, since it is smaller than the sum of its proper divisors (281822881452).

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

132133333332 is a wasteful number, since it uses less digits than its factorization.

132133333332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11000149 (or 11000147 counting only the distinct ones).

The product of its digits is 26244, while the sum is 30.

Adding to 132133333332 its reverse (233333331231), we get a palindrome (365466664563).

The spelling of 132133333332 in words is "one hundred thirty-two billion, one hundred thirty-three million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 4004 6006 12012 11000111 22000222 33000333 44000444 66000666 77000777 121001221 132001332 143001443 154001554 231002331 242002442 286002886 308003108 363003663 429004329 462004662 484004884 572005772 726007326 847008547 858008658 924009324 1001010101 1452014652 1573015873 1694017094 1716017316 2002020202 2541025641 3003030303 3146031746 3388034188 4004040404 4719047619 5082051282 6006060606 6292063492 9438095238 10164102564 11011111111 12012121212 18876190476 22022222222 33033333333 44044444444 66066666666 132133333332