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131205035510022 = 23196431979904459
BaseRepresentation
bin11101110101010010001101…
…100010001100100100000110
3122012120002010111220210220110
4131311102031202030210012
5114144130403042310042
61143014432231013450
736431152043426655
oct3565221542144406
9565502114823813
10131205035510022
113889581a045551
12128704b8b0a286
135829774182706
14245850138d19c
151027e263a209c
hex77548d88c906

131205035510022 has 64 divisors (see below), whose sum is σ = 276790808448000. Its totient is φ = 41347782259488.

The previous prime is 131205035509973. The next prime is 131205035510039. The reversal of 131205035510022 is 220015530502131.

131205035510022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1312050355100222 (a number of 29 digits) contains 22 as substring.

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, 144612429 + ... + 145516887.

It is an arithmetic number, because the mean of its divisors is an integer number (4324856382000).

Almost surely, 2131205035510022 is an apocalyptic number.

131205035510022 is an abundant number, since it is smaller than the sum of its proper divisors (145585772937978).

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

131205035510022 is a wasteful number, since it uses less digits than its factorization.

131205035510022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907105.

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 131205035510022 in words is "one hundred thirty-one trillion, two hundred five billion, thirty-five million, five hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 19 38 57 114 643 1286 1929 1979 3858 3958 5937 11874 12217 24434 36651 37601 73302 75202 112803 225606 904459 1272497 1808918 2544994 2713377 3817491 5426754 7634982 17184721 24177443 34369442 48354886 51554163 72532329 103108326 145064658 581567137 1163134274 1744701411 1789924361 3489402822 3579848722 5369773083 10739546166 11049775603 22099551206 33149326809 34008562859 66298653618 68017125718 102025688577 204051377154 1150921364123 2301842728246 3452764092369 6905528184738 21867505918337 43735011836674 65602517755011 131205035510022