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13312242041 = 72299368221
BaseRepresentation
bin11000110010111100…
…01011000101111001
31021100202022222000112
430121132023011321
5204230413221131
610040543314105
7650614122200
oct143136130571
937322288015
1013312242041
11571146052a
1226b62ab935
131341c979c7
14904008237
1552da7d02b
hex31978b179

13312242041 has 12 divisors (see below), whose sum is σ = 16019659620. Its totient is φ = 11017026720.

The previous prime is 13312242029. The next prime is 13312242043. The reversal of 13312242041 is 14024221331.

It can be written as a sum of positive squares in 2 ways, for example, as 3480528016 + 9831714025 = 58996^2 + 99155^2 .

It is a de Polignac number, because none of the positive numbers 2k-13312242041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13312241998 and 13312242016.

It is not an unprimeable number, because it can be changed into a prime (13312242043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4682690 + ... + 4685531.

It is an arithmetic number, because the mean of its divisors is an integer number (1334971635).

Almost surely, 213312242041 is an apocalyptic number.

It is an amenable number.

13312242041 is a deficient number, since it is larger than the sum of its proper divisors (2707417579).

13312242041 is an equidigital number, since it uses as much as digits as its factorization.

13312242041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368264 (or 9368257 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 13312242041 its reverse (14024221331), we get a palindrome (27336463372).

The spelling of 13312242041 in words is "thirteen billion, three hundred twelve million, two hundred forty-two thousand, forty-one".

Divisors: 1 7 29 49 203 1421 9368221 65577547 271678409 459042829 1901748863 13312242041