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13411414337 is a prime number
BaseRepresentation
bin11000111110110000…
…11111000101000001
31021121122221102211112
430133120133011001
5204431310224322
610054445053105
7653230066226
oct143730370501
937548842745
1013411414337
115762437102
122723557195
1313596ab839
1491326194d
1553761c5e2
hex31f61f141

13411414337 has 2 divisors, whose sum is σ = 13411414338. Its totient is φ = 13411414336.

The previous prime is 13411414319. The next prime is 13411414343. The reversal of 13411414337 is 73341411431.

13411414337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12274645681 + 1136768656 = 110791^2 + 33716^2 .

It is a cyclic number.

It is not a de Polignac number, because 13411414337 - 214 = 13411397953 is a prime.

It is not a weakly prime, because it can be changed into another prime (13411414307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6705707168 + 6705707169.

It is an arithmetic number, because the mean of its divisors is an integer number (6705707169).

Almost surely, 213411414337 is an apocalyptic number.

It is an amenable number.

13411414337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13411414337 is an equidigital number, since it uses as much as digits as its factorization.

13411414337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 32.

Adding to 13411414337 its reverse (73341411431), we get a palindrome (86752825768).

The spelling of 13411414337 in words is "thirteen billion, four hundred eleven million, four hundred fourteen thousand, three hundred thirty-seven".