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402210013 is a prime number
BaseRepresentation
bin10111111110010…
…011110011011101
31001000211101102011
4113332103303131
51310431210023
6103524431221
712652504642
oct2776236335
91030741364
10402210013
11197045377
12b2848511
13654364ba
143b5bbdc9
152549d50d
hex17f93cdd

402210013 has 2 divisors, whose sum is σ = 402210014. Its totient is φ = 402210012.

The previous prime is 402209989. The next prime is 402210037. The reversal of 402210013 is 310012204.

It is a balanced prime because it is at equal distance from previous prime (402209989) and next prime (402210037).

It can be written as a sum of positive squares in only one way, i.e., 385219129 + 16990884 = 19627^2 + 4122^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-402210013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 402209975 and 402210002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (402210113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201105006 + 201105007.

It is an arithmetic number, because the mean of its divisors is an integer number (201105007).

Almost surely, 2402210013 is an apocalyptic number.

It is an amenable number.

402210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

402210013 is an equidigital number, since it uses as much as digits as its factorization.

402210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 402210013 is about 20055.1742201358. The cubic root of 402210013 is about 738.1607678729.

Adding to 402210013 its reverse (310012204), we get a palindrome (712222217).

The spelling of 402210013 in words is "four hundred two million, two hundred ten thousand, thirteen".