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12220300001331 = 36792777431031
BaseRepresentation
bin1011000111010100001010…
…1001000000000000110011
31121021020201201101201000000
42301311002221000000303
53100204133300020311
641553532303401043
72400613266066612
oct261650251000063
947236651351000
1012220300001331
11399166684a504
1214544618b3183
136a84a55b4c66
14303673b59879
15162d28620056
hexb1d42a40033

12220300001331 has 112 divisors (see below), whose sum is σ = 18664122562560. Its totient is φ = 7996152790080.

The previous prime is 12220300001297. The next prime is 12220300001363. The reversal of 12220300001331 is 13310000302221.

12220300001331 is a `hidden beast` number, since 12 + 2 + 20 + 300 + 0 + 0 + 1 + 331 = 666.

It is not a de Polignac number, because 12220300001331 - 26 = 12220300001267 is a prime.

It is a super-2 number, since 2×122203000013312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12220300001531) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11852860786 + ... + 11852861816.

Almost surely, 212220300001331 is an apocalyptic number.

12220300001331 is a deficient number, since it is larger than the sum of its proper divisors (6443822561229).

12220300001331 is an equidigital number, since it uses as much as digits as its factorization.

12220300001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12220300001331 its reverse (13310000302221), we get a palindrome (25530300303552).

The spelling of 12220300001331 in words is "twelve trillion, two hundred twenty billion, three hundred million, one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 79 81 237 243 277 711 729 743 831 1031 2133 2229 2493 3093 6399 6687 7479 9279 19197 20061 21883 22437 27837 57591 58697 60183 65649 67311 81449 83511 176091 180549 196947 201933 205811 244347 250533 285587 528273 541647 590841 617433 733041 751599 766033 856761 1584819 1772523 1852299 2199123 2298099 2570283 4754457 5317569 5556897 6597369 6894297 7710849 14263371 15952707 16259069 16670691 19792107 20682891 22561373 23132547 42790113 48777207 50012073 59376321 60516607 62048673 67684119 69397641 146331621 150036219 181549821 186146019 203052357 208192923 212191141 438994863 544649463 558438057 609157071 636573423 1316984589 1633948389 1827471213 1909720269 3950953767 4901845167 5482413639 5729160807 11852861301 14705535501 16447240917 16763100139 17187482421 44116606503 50289300417 51562447263 150867901251 154687341789 452603703753 1357811111259 4073433333777 12220300001331