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220536013 is a prime number
BaseRepresentation
bin11010010010100…
…01110011001101
3120100222101112111
431021101303031
5422424123023
633514504021
75315345065
oct1511216315
9510871474
10220536013
11103539a75
1261a35011
13368c76a9
142140a3a5
151456400d
hexd251ccd

220536013 has 2 divisors, whose sum is σ = 220536014. Its totient is φ = 220536012.

The previous prime is 220535989. The next prime is 220536023. The reversal of 220536013 is 310635022.

220536013 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 can be written as a sum of positive squares in only one way, i.e., 193682889 + 26853124 = 13917^2 + 5182^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220536013 is a prime.

It is a super-2 number, since 2×2205360132 = 97272266059872338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220536023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110268006 + 110268007.

It is an arithmetic number, because the mean of its divisors is an integer number (110268007).

Almost surely, 2220536013 is an apocalyptic number.

It is an amenable number.

220536013 is a deficient number, since it is larger than the sum of its proper divisors (1).

220536013 is an equidigital number, since it uses as much as digits as its factorization.

220536013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 220536013 is about 14850.4549761952. The cubic root of 220536013 is about 604.1709501422.

Subtracting 220536013 from its reverse (310635022), we obtain a palindrome (90099009).

The spelling of 220536013 in words is "two hundred twenty million, five hundred thirty-six thousand, thirteen".