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10323420013 is a prime number
BaseRepresentation
bin10011001110101001…
…01110001101101101
3222122110100001222101
421213110232031231
5132120243420023
64424214415101
7513552423304
oct114724561555
928573301871
1010323420013
114418335285
122001361491
13c869c826a
146dd0b143b
154064961ad
hex26752e36d

10323420013 has 2 divisors, whose sum is σ = 10323420014. Its totient is φ = 10323420012.

The previous prime is 10323420001. The next prime is 10323420031. The reversal of 10323420013 is 31002432301.

Together with next prime (10323420031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8805382569 + 1518037444 = 93837^2 + 38962^2 .

It is an emirp because it is prime and its reverse (31002432301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10323420013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10323420113) 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, 5161710006 + 5161710007.

It is an arithmetic number, because the mean of its divisors is an integer number (5161710007).

Almost surely, 210323420013 is an apocalyptic number.

It is an amenable number.

10323420013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10323420013 is an equidigital number, since it uses as much as digits as its factorization.

10323420013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10323420013 its reverse (31002432301), we get a palindrome (41325852314).

It can be divided in two parts, 10323 and 420013, that added together give a square (430336 = 6562).

The spelling of 10323420013 in words is "ten billion, three hundred twenty-three million, four hundred twenty thousand, thirteen".