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13220223012102 = 23232931144773643
BaseRepresentation
bin1100000001100001001010…
…1100100100110100000110
31201210211201001221200010010
43000120102230210310012
53213100004042341402
644041141524011050
72533062310332351
oct300302254446406
951724631850103
1013220223012102
114237735270237
121596201b30a86
1374b87a935932
14339c0dc81298
1517dd4d229a6c
hexc0612b24d06

13220223012102 has 128 divisors (see below), whose sum is σ = 29482862837760. Its totient is φ = 3935734830720.

The previous prime is 13220223012047. The next prime is 13220223012109. The reversal of 13220223012102 is 20121032202231.

It is a super-2 number, since 2×132202230121022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220223012109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179480893 + ... + 179554535.

It is an arithmetic number, because the mean of its divisors is an integer number (230334865920).

Almost surely, 213220223012102 is an apocalyptic number.

13220223012102 is an abundant number, since it is smaller than the sum of its proper divisors (16262639825658).

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

13220223012102 is a wasteful number, since it uses less digits than its factorization.

13220223012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75178.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13220223012102 its reverse (20121032202231), we get a palindrome (33341255214333).

The spelling of 13220223012102 in words is "thirteen trillion, two hundred twenty billion, two hundred twenty-three million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 23 29 31 46 58 62 69 87 93 138 174 186 667 713 899 1334 1426 1447 1798 2001 2139 2697 2894 4002 4278 4341 5394 8682 20677 33281 41354 41963 44857 62031 66562 73643 83926 89714 99843 124062 125889 134571 147286 199686 220929 251778 269142 441858 965149 1031711 1300853 1693789 1930298 2063422 2135647 2282933 2601706 2895447 3095133 3387578 3902559 4271294 4565866 5081367 5790894 6190266 6406941 6848799 7805118 10162734 12813882 13697598 29919619 49119881 52507459 59839238 66205057 89758857 98239762 105014918 106561421 132410114 147359643 157522377 179517714 198615171 213122842 294719286 315044754 319684263 397230342 639368526 1522716311 2450912683 3045432622 3090281209 3303404051 4568148933 4901825366 6180562418 6606808102 7352738049 9136297866 9270843627 9910212153 14705476098 18541687254 19820424306 71076467807 75978293173 95798717479 142152935614 151956586346 191597434958 213229403421 227934879519 287396152437 426458806842 455869759038 574792304874 2203370502017 4406741004034 6610111506051 13220223012102