Search a number
-
+
13403400401 is a prime number
BaseRepresentation
bin11000111101110011…
…11010100011010001
31021121002212021210002
430132321322203101
5204422232303101
610054001215345
7653102011046
oct143671724321
937532767702
1013403400401
115758963116
122720931555
131357b33c71
149121771cd
15536a87d6b
hex31ee7a8d1

13403400401 has 2 divisors, whose sum is σ = 13403400402. Its totient is φ = 13403400400.

The previous prime is 13403400349. The next prime is 13403400421. The reversal of 13403400401 is 10400430431.

It is a happy number.

It is an a-pointer prime, because the next prime (13403400421) can be obtained adding 13403400401 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10419509776 + 2983890625 = 102076^2 + 54625^2 .

It is a cyclic number.

It is not a de Polignac number, because 13403400401 - 230 = 12329658577 is a prime.

It is a super-2 number, since 2×134034004012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13403400421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6701700200 + 6701700201.

It is an arithmetic number, because the mean of its divisors is an integer number (6701700201).

Almost surely, 213403400401 is an apocalyptic number.

It is an amenable number.

13403400401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13403400401 is an equidigital number, since it uses as much as digits as its factorization.

13403400401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13403400401 its reverse (10400430431), we get a palindrome (23803830832).

The spelling of 13403400401 in words is "thirteen billion, four hundred three million, four hundred thousand, four hundred one".