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13533414431 is a prime number
BaseRepresentation
bin11001001101010011…
…11000010000011111
31021221011111200111112
430212221320100133
5210204023230211
610114524012235
7656241060515
oct144651702037
937834450445
1013533414431
115815294629
12275839107b
131378a55c44
1492553c4b5
155431ba88b
hex326a7841f

13533414431 has 2 divisors, whose sum is σ = 13533414432. Its totient is φ = 13533414430.

The previous prime is 13533414379. The next prime is 13533414437. The reversal of 13533414431 is 13441433531.

13533414431 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 is a cyclic number.

It is not a de Polignac number, because 13533414431 - 222 = 13529220127 is a prime.

It is a super-2 number, since 2×135334144312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13533414437) 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, 6766707215 + 6766707216.

It is an arithmetic number, because the mean of its divisors is an integer number (6766707216).

Almost surely, 213533414431 is an apocalyptic number.

13533414431 is a deficient number, since it is larger than the sum of its proper divisors (1).

13533414431 is an equidigital number, since it uses as much as digits as its factorization.

13533414431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 25920, while the sum is 32.

Adding to 13533414431 its reverse (13441433531), we get a palindrome (26974847962).

The spelling of 13533414431 in words is "thirteen billion, five hundred thirty-three million, four hundred fourteen thousand, four hundred thirty-one".