Search a number
-
+
13104444321513 = 3229193260148181
BaseRepresentation
bin1011111010110001110110…
…1111111010111011101001
31201101202212020220210111200
42332230131233322323221
53204200400221242023
643512033144514413
72521523226602436
oct276543557727351
951352766823450
1013104444321513
1141a2622207386
12157788ba7ba09
137409891786ac
1433438941ab8d
1517ad23b62743
hexbeb1dbfaee9

13104444321513 has 24 divisors (see below), whose sum is σ = 19682811450120. Its totient is φ = 8391339694080.

The previous prime is 13104444321509. The next prime is 13104444321517. The reversal of 13104444321513 is 31512344440131.

13104444321513 is a `hidden beast` number, since 1 + 3 + 104 + 4 + 4 + 4 + 32 + 1 + 513 = 666.

It is an interprime number because it is at equal distance from previous prime (13104444321509) and next prime (13104444321517).

It can be written as a sum of positive squares in 4 ways, for example, as 38843679744 + 13065600641769 = 197088^2 + 3614637^2 .

It is not a de Polignac number, because 13104444321513 - 22 = 13104444321509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13104444321517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130023718 + ... + 130124463.

It is an arithmetic number, because the mean of its divisors is an integer number (820117143755).

Almost surely, 213104444321513 is an apocalyptic number.

It is an amenable number.

13104444321513 is a deficient number, since it is larger than the sum of its proper divisors (6578367128607).

13104444321513 is a wasteful number, since it uses less digits than its factorization.

13104444321513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260148409 (or 260148406 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 13104444321513 its reverse (31512344440131), we get a palindrome (44616788761644).

The spelling of 13104444321513 in words is "thirteen trillion, one hundred four billion, four hundred forty-four million, three hundred twenty-one thousand, five hundred thirteen".

Divisors: 1 3 9 29 87 193 261 579 1737 5597 16791 50373 260148181 780444543 2341333629 7544297249 22632891747 50208598933 67898675241 150625796799 451877390397 1456049369057 4368148107171 13104444321513