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213223302013 is a prime number
BaseRepresentation
bin1100011010010100011…
…0010110001101111101
3202101100220021000201211
43012211012112031331
511443140131131023
6241541535204421
721255605106631
oct3064506261575
9671326230654
10213223302013
1182477aa4777
12353a8076711
1317150a46537
14a46a376dc1
15582e2d4a0d
hex31a519637d

213223302013 has 2 divisors, whose sum is σ = 213223302014. Its totient is φ = 213223302012.

The previous prime is 213223301983. The next prime is 213223302031. The reversal of 213223302013 is 310203322312.

Together with next prime (213223302031) 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., 183426328089 + 29796973924 = 428283^2 + 172618^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213223302013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213223372013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106611651006 + 106611651007.

It is an arithmetic number, because the mean of its divisors is an integer number (106611651007).

Almost surely, 2213223302013 is an apocalyptic number.

It is an amenable number.

213223302013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213223302013 is an equidigital number, since it uses as much as digits as its factorization.

213223302013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 213223302013 its reverse (310203322312), we get a palindrome (523426624325).

The spelling of 213223302013 in words is "two hundred thirteen billion, two hundred twenty-three million, three hundred two thousand, thirteen".