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13346418401 is a prime number
BaseRepresentation
bin11000110111000001…
…00010111011100001
31021110010122022011122
430123200202323201
5204313140342101
610044204022025
7651510453551
oct143340427341
937403568148
1013346418401
115729783758
122705831915
1313490a28c4
14908783161
15531a7e51b
hex31b822ee1

13346418401 has 2 divisors, whose sum is σ = 13346418402. Its totient is φ = 13346418400.

The previous prime is 13346418383. The next prime is 13346418469. The reversal of 13346418401 is 10481464331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9647954176 + 3698464225 = 98224^2 + 60815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13346418401 is a prime.

It is not a weakly prime, because it can be changed into another prime (13346418101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6673209200 + 6673209201.

It is an arithmetic number, because the mean of its divisors is an integer number (6673209201).

Almost surely, 213346418401 is an apocalyptic number.

It is an amenable number.

13346418401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13346418401 is an equidigital number, since it uses as much as digits as its factorization.

13346418401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 13346418401 in words is "thirteen billion, three hundred forty-six million, four hundred eighteen thousand, four hundred one".