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13102141441 is a prime number
BaseRepresentation
bin11000011001111001…
…01101000000000001
31020211002222202011211
430030330231000001
5203313122011231
610004040210121
7642453236044
oct141474550001
936732882154
1013102141441
1156138a9874
122657a69941
13130a5b511c
148c4156c5b
1551a3caeb1
hex30cf2d001

13102141441 has 2 divisors, whose sum is σ = 13102141442. Its totient is φ = 13102141440.

The previous prime is 13102141439. The next prime is 13102141477. The reversal of 13102141441 is 14414120131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9044961025 + 4057180416 = 95105^2 + 63696^2 .

It is an emirp because it is prime and its reverse (14414120131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13102141441 - 21 = 13102141439 is a prime.

It is a super-2 number, since 2×131021414412 (a number of 21 digits) contains 22 as substring.

Together with 13102141439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13102141411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6551070720 + 6551070721.

It is an arithmetic number, because the mean of its divisors is an integer number (6551070721).

Almost surely, 213102141441 is an apocalyptic number.

It is an amenable number.

13102141441 is a deficient number, since it is larger than the sum of its proper divisors (1).

13102141441 is an equidigital number, since it uses as much as digits as its factorization.

13102141441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 13102141441 its reverse (14414120131), we get a palindrome (27516261572).

The spelling of 13102141441 in words is "thirteen billion, one hundred two million, one hundred forty-one thousand, four hundred forty-one".