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12223222222113 = 327317620337549
BaseRepresentation
bin1011000111011111000011…
…0100011000110100100001
31121021112021101001220022100
42301313300310120310201
53100231124342101423
641555134253001013
72401045561416000
oct261676064306441
947245241056270
1012223222222113
113992926316201
121454b38483169
136a884cb35b96
1430386dcb6c37
15162e49e4d343
hexb1df0d18d21

12223222222113 has 96 divisors (see below), whose sum is σ = 21805074720000. Its totient is φ = 6572598971904.

The previous prime is 12223222222073. The next prime is 12223222222121. The reversal of 12223222222113 is 31122222232221.

12223222222113 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 322 + 2 + 222 + 113 = 666.

It is not a de Polignac number, because 12223222222113 - 214 = 12223222205729 is a prime.

It is a super-2 number, since 2×122232222221132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12223222222513) 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, 325508463 + ... + 325546011.

It is an arithmetic number, because the mean of its divisors is an integer number (227136195000).

Almost surely, 212223222222113 is an apocalyptic number.

It is an amenable number.

12223222222113 is a deficient number, since it is larger than the sum of its proper divisors (9581852497887).

12223222222113 is a wasteful number, since it uses less digits than its factorization.

12223222222113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43796 (or 43779 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12223222222113 its reverse (31122222232221), we get a palindrome (43345444454334).

The spelling of 12223222222113 in words is "twelve trillion, two hundred twenty-three billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 343 357 441 833 1029 1071 2499 3087 5831 6203 7497 17493 18609 37549 43421 52479 55827 105451 112647 130263 262843 303947 316353 337941 390789 638333 738157 788529 911841 949059 1839901 1914999 2127629 2214471 2365587 2735523 4468331 5167099 5519703 5744997 6382887 6643413 12879307 13404993 15501297 16559109 19148661 31278317 36169693 38637921 40214979 46503891 93834951 108509079 115913763 218948219 232916447 281504853 325527237 656844657 698749341 1630415129 1970533971 2096248023 3959579599 4891245387 11412905903 11878738797 14673736161 27717057193 34238717709 35636216391 79890341321 83151171579 102716153127 194019400351 239671023963 249453514737 582058201053 719013071889 1358135802457 1746174603159 4074407407371 12223222222113