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131312112202200 = 233522013371087001
BaseRepresentation
bin11101110110110101111011…
…110011010111000111011000
3122012221022111212121100211110
4131312311323303113013120
5114202404201210432300
61143135541312100320
736441662360333046
oct3566657363270730
9565838455540743
10131312112202200
1138927177047186
12128892008346a0
1358368a9b3a977
14245d77c211396
15102aae1a04550
hex776d7bcd71d8

131312112202200 has 96 divisors (see below), whose sum is σ = 407069944137360. Its totient is φ = 35016357120000.

The previous prime is 131312112202169. The next prime is 131312112202217. The reversal of 131312112202200 is 2202211213131.

It is a super-2 number, since 2×1313121122022002 (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 23 ways as a sum of consecutive naturals, for example, 120258700 + ... + 121345700.

Almost surely, 2131312112202200 is an apocalyptic number.

131312112202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131312112202200 is an abundant number, since it is smaller than the sum of its proper divisors (275757831935160).

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

131312112202200 is a wasteful number, since it uses less digits than its factorization.

131312112202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288357 (or 1288348 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131312112202200 its reverse (2202211213131), we get a palindrome (133514323415331).

The spelling of 131312112202200 in words is "one hundred thirty-one trillion, three hundred twelve billion, one hundred twelve million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 201337 402674 604011 805348 1006685 1087001 1208022 1610696 2013370 2174002 2416044 3020055 3261003 4026740 4348004 4832088 5033425 5435005 6040110 6522006 8053480 8696008 10066850 10870010 12080220 13044012 15100275 16305015 20133700 21740020 24160440 26088024 27175025 30200550 32610030 40267400 43480040 54350050 60401100 65220060 81525075 108700100 120802200 130440120 163050150 217400200 326100300 652200600 218853520337 437707040674 656560561011 875414081348 1094267601685 1313121122022 1750828162696 2188535203370 2626242244044 3282802805055 4377070406740 5252484488088 5471338008425 6565605610110 8754140813480 10942676016850 13131211220220 16414014025275 21885352033700 26262422440440 32828028050550 43770704067400 65656056101100 131312112202200