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32413431013 is a prime number
BaseRepresentation
bin11110001011111111…
…011011010011100101
310002122221120220022221
4132023333123103211
51012340314243023
622520204152341
72225143421605
oct361377332345
9102587526287
1032413431013
111282359a517
1263472386b1
1330973a41a2
1417d6ba2c05
15c9a95485d
hex78bfdb4e5

32413431013 has 2 divisors, whose sum is σ = 32413431014. Its totient is φ = 32413431012.

The previous prime is 32413430947. The next prime is 32413431031. The reversal of 32413431013 is 31013431423.

Together with next prime (32413431031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20186158084 + 12227272929 = 142078^2 + 110577^2 .

It is a cyclic number.

It is not a de Polignac number, because 32413431013 - 233 = 23823496421 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32413431913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16206715506 + 16206715507.

It is an arithmetic number, because the mean of its divisors is an integer number (16206715507).

Almost surely, 232413431013 is an apocalyptic number.

It is an amenable number.

32413431013 is a deficient number, since it is larger than the sum of its proper divisors (1).

32413431013 is an equidigital number, since it uses as much as digits as its factorization.

32413431013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 32413431013 its reverse (31013431423), we get a palindrome (63426862436).

The spelling of 32413431013 in words is "thirty-two billion, four hundred thirteen million, four hundred thirty-one thousand, thirteen".