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131332011122125 = 5311444972146531
BaseRepresentation
bin11101110111001000011101…
…110111101101110111001101
3122020000012212122221020021201
4131313020131313231313031
5114203220424321402000
61143153032031025501
736443265444345622
oct3567103567556715
9566005778836251
10131332011122125
1138934658507250
121289103496b291
13583872b5b42b8
142460708d04349
15102b3a895596a
hex77721ddeddcd

131332011122125 has 32 divisors (see below), whose sum is σ = 178806665112192. Its totient is φ = 95511998880000.

The previous prime is 131332011122087. The next prime is 131332011122153. The reversal of 131332011122125 is 521221110233131.

It is not a de Polignac number, because 131332011122125 - 29 = 131332011121613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131332011122093 and 131332011122102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60110110 + ... + 62256640.

It is an arithmetic number, because the mean of its divisors is an integer number (5587708284756).

Almost surely, 2131332011122125 is an apocalyptic number.

It is an amenable number.

131332011122125 is a deficient number, since it is larger than the sum of its proper divisors (47474653990067).

131332011122125 is a wasteful number, since it uses less digits than its factorization.

131332011122125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191054 (or 2191044 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

Adding to 131332011122125 its reverse (521221110233131), we get a palindrome (652553121355256).

The spelling of 131332011122125 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, eleven million, one hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 125 275 1375 44497 222485 489467 1112425 2146531 2447335 5562125 10732655 12236675 23611841 53663275 61183375 118059205 268316375 590296025 2951480125 95514189907 477570949535 1050656088977 2387854747675 5253280444885 11939273738375 26266402224425 131332011122125