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200020313 is a prime number
BaseRepresentation
bin10111110110000…
…01000101011001
3111221101002021202
423323001011121
5402201122223
631503043545
74646100413
oct1373010531
9457332252
10200020313
11a29a7249
1256ba05b5
133259361c
141c7c99b3
1512860428
hexbec1159

200020313 has 2 divisors, whose sum is σ = 200020314. Its totient is φ = 200020312.

The previous prime is 200020267. The next prime is 200020319. The reversal of 200020313 is 313020002.

200020313 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., 100260169 + 99760144 = 10013^2 + 9988^2 .

It is a cyclic number.

It is not a de Polignac number, because 200020313 - 212 = 200016217 is a prime.

It is a super-2 number, since 2×2000203132 = 80016251225235938, which contains 22 as substring.

It is equal to p11080010 and since 200020313 and 11080010 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 200020294 and 200020303.

It is not a weakly prime, because it can be changed into another prime (200020319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100010156 + 100010157.

It is an arithmetic number, because the mean of its divisors is an integer number (100010157).

Almost surely, 2200020313 is an apocalyptic number.

It is an amenable number.

200020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

200020313 is an equidigital number, since it uses as much as digits as its factorization.

200020313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 200020313 is about 14142.8537784989. The cubic root of 200020313 is about 584.8233454964.

Adding to 200020313 its reverse (313020002), we get a palindrome (513040315).

The spelling of 200020313 in words is "two hundred million, twenty thousand, three hundred thirteen".