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202002013 is a prime number
BaseRepresentation
bin11000000101001…
…00111001011101
3112002002202200001
430002210321131
5403203031023
632013334301
75001663103
oct1402447135
9462082601
10202002013
11a4030114
1257797391
1332b08625
141cb83c73
1512b026ad
hexc0a4e5d

202002013 has 2 divisors, whose sum is σ = 202002014. Its totient is φ = 202002012.

The previous prime is 202002001. The next prime is 202002061. The reversal of 202002013 is 310200202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102860164 + 99141849 = 10142^2 + 9957^2 .

It is a cyclic number.

It is not a de Polignac number, because 202002013 - 217 = 201870941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202002113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101001006 + 101001007.

It is an arithmetic number, because the mean of its divisors is an integer number (101001007).

Almost surely, 2202002013 is an apocalyptic number.

It is an amenable number.

202002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

202002013 is an equidigital number, since it uses as much as digits as its factorization.

202002013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 202002013 is about 14212.7412204683. The cubic root of 202002013 is about 586.7483798816.

Adding to 202002013 its reverse (310200202), we get a palindrome (512202215).

The spelling of 202002013 in words is "two hundred two million, two thousand, thirteen".