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133032231322221 = 371143311144729761
BaseRepresentation
bin11110001111110111111010…
…111001000100001001101101
3122110000202102221012101020210
4132033313322321010021231
5114414100002204302341
61150534055142333033
740010155464530160
oct3617677271041155
9573022387171223
10133032231322221
113942a71a490390
1212b0665512a179
13592cb6882758a
1424bcb199b1ad7
15105a71876dc16
hex78fdfae4426d

133032231322221 has 128 divisors (see below), whose sum is σ = 227179515543552. Its totient is φ = 67234696704000.

The previous prime is 133032231322217. The next prime is 133032231322231. The reversal of 133032231322221 is 122223132230331.

It is not a de Polignac number, because 133032231322221 - 22 = 133032231322217 is a prime.

It is a super-2 number, since 2×1330322313222212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133032231322231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4470003981 + ... + 4470033741.

It is an arithmetic number, because the mean of its divisors is an integer number (1774839965184).

Almost surely, 2133032231322221 is an apocalyptic number.

133032231322221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133032231322221 is a deficient number, since it is larger than the sum of its proper divisors (94147284221331).

133032231322221 is a wasteful number, since it uses less digits than its factorization.

133032231322221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31583.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 133032231322221 its reverse (122223132230331), we get a palindrome (255255363552552).

The spelling of 133032231322221 in words is "one hundred thirty-three trillion, thirty-two billion, two hundred thirty-one million, three hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 33 43 77 129 231 301 311 473 903 933 1419 1447 2177 3311 3421 4341 6531 9933 10129 10263 13373 15917 23947 29761 30387 40119 47751 62221 71841 89283 93611 111419 147103 186663 208327 280833 327371 334257 435547 441309 450017 624981 684431 982113 1029721 1279723 1306641 1350051 2053293 2291597 3089163 3150119 3839169 4791017 4950187 6874791 8958061 9255671 9450357 14076953 14373051 14850561 19350731 26874183 27767013 34651309 42230859 43064167 58052193 64789697 98538671 101812381 103953927 129192501 135455117 194369091 212858041 295616013 301449169 305437143 397993853 406365351 473705837 638574123 712686667 904347507 1193981559 1421117511 1490006287 1851759181 2138060001 2785956971 3315940859 4377932383 4470018861 5555277543 8357870913 9947822577 12962314267 13133797149 13392955937 20369350991 30645526681 38886942801 40178867811 61108052973 91936580043 93750691559 142585456937 147322515307 281252074677 427756370811 441967545921 575897105291 1031257607149 1727691315873 3093772821447 4031279737037 6334868158201 12093839211111 19004604474603 44344077107407 133032231322221