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13114122010441 = 415214441138241
BaseRepresentation
bin1011111011010101111010…
…0101010111111101001001
31201102200211201012022221221
42332311132211113331021
53204330210213313231
643520313335202041
72522315111602114
oct276653645277511
951380751168857
1013114122010441
1141a6738a99301
121579730b16321
1374186c155a4a
14334a2683d57b
1517b1dd5a5d11
hexbed5e957f49

13114122010441 has 16 divisors (see below), whose sum is σ = 13462891814736. Its totient is φ = 12766740480000.

The previous prime is 13114122010433. The next prime is 13114122010453. The reversal of 13114122010441 is 14401022141131.

It can be written as a sum of positive squares in 8 ways, for example, as 5532750752400 + 7581371258041 = 2352180^2 + 2753429^2 .

It is a cyclic number.

It is not a de Polignac number, because 13114122010441 - 23 = 13114122010433 is a prime.

It is a super-2 number, since 2×131141220104412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13114122010411) 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, 94795081 + ... + 94933321.

It is an arithmetic number, because the mean of its divisors is an integer number (841430738421).

Almost surely, 213114122010441 is an apocalyptic number.

It is an amenable number.

13114122010441 is a deficient number, since it is larger than the sum of its proper divisors (348769804295).

13114122010441 is a wasteful number, since it uses less digits than its factorization.

13114122010441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143244.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 13114122010441 its reverse (14401022141131), we get a palindrome (27515144151572).

The spelling of 13114122010441 in words is "thirteen trillion, one hundred fourteen billion, one hundred twenty-two million, ten thousand, four hundred forty-one".

Divisors: 1 41 521 4441 21361 138241 182081 2313761 5667881 72023561 94864201 613928281 2952966001 25171059521 319856634401 13114122010441