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131104414231241 = 1189443302294953
BaseRepresentation
bin11101110011110100100000…
…000010011110101011001001
3122012012110102001020020101112
4131303310200002132223021
5114141003320020344431
61142500311511500105
736420660413606033
oct3563644002365311
9565173361206345
10131104414231241
1138857084a48510
1212854ab7087635
135820129a36bb9
1424536b7a06c53
1510254d7844c2b
hex773d2009eac9

131104414231241 has 16 divisors (see below), whose sum is σ = 144956476342080. Its totient is φ = 117580644529920.

The previous prime is 131104414231237. The next prime is 131104414231309. The reversal of 131104414231241 is 142132414401131.

It is not a de Polignac number, because 131104414231241 - 22 = 131104414231237 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131104414231198 and 131104414231207.

It is not an unprimeable number, because it can be changed into a prime (131104414236241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150713780 + ... + 151581173.

It is an arithmetic number, because the mean of its divisors is an integer number (9059779771380).

Almost surely, 2131104414231241 is an apocalyptic number.

131104414231241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131104414231241 is a deficient number, since it is larger than the sum of its proper divisors (13852062110839).

131104414231241 is a wasteful number, since it uses less digits than its factorization.

131104414231241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302295496.

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 131104414231241 its reverse (142132414401131), we get a palindrome (273236828632372).

The spelling of 131104414231241 in words is "one hundred thirty-one trillion, one hundred four billion, four hundred fourteen million, two hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 11 89 443 979 4873 39427 433697 302294953 3325244483 26904250817 133916664179 295946758987 1473083305969 11918583111931 131104414231241