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131443321011041 = 131732058014389
BaseRepresentation
bin11101111000110000001000…
…011101001111101101100001
3122020101212012001010110110002
4131320300020131033231201
5114212031410134323131
61143320121132145345
736454316012654324
oct3570601035175541
9566355161113402
10131443321011041
1138977887a99286
12128aa71a308255
13584608a29c2b0
142465c680607bb
15102e220a436cb
hex778c0874fb61

131443321011041 has 16 divisors (see below), whose sum is σ = 150399691621200. Its totient is φ = 114195102361344.

The previous prime is 131443321011031. The next prime is 131443321011049. The reversal of 131443321011041 is 140110123344131.

It can be written as a sum of positive squares in 8 ways, for example, as 25486746433600 + 105956574577441 = 5048440^2 + 10293521^2 .

It is not a de Polignac number, because 131443321011041 - 242 = 127045274499937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131443321010995 and 131443321011013.

It is not an unprimeable number, because it can be changed into a prime (131443321011049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028943326 + ... + 1029071063.

It is an arithmetic number, because the mean of its divisors is an integer number (9399980726325).

Almost surely, 2131443321011041 is an apocalyptic number.

It is an amenable number.

131443321011041 is a deficient number, since it is larger than the sum of its proper divisors (18956370610159).

131443321011041 is an equidigital number, since it uses as much as digits as its factorization.

131443321011041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058014453 (or 2058014419 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 131443321011041 its reverse (140110123344131), we get a palindrome (271553444355172).

The spelling of 131443321011041 in words is "one hundred thirty-one trillion, four hundred forty-three billion, three hundred twenty-one million, eleven thousand, forty-one".

Divisors: 1 13 17 221 289 3757 4913 63869 2058014389 26754187057 34986244613 454821179969 594766158421 7731960059473 10111024693157 131443321011041