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200303213021 is a prime number
BaseRepresentation
bin1011101010001100000…
…0000111100111011101
3201011000110211111120022
42322203000013213131
511240210110304041
6232003521001525
720320462134662
oct2724300074735
9634013744508
10200303213021
1177a47a3a67a
12329a11832a5
1315b720a3572
1499a248da69
155324dba24b
hex2ea30079dd

200303213021 has 2 divisors, whose sum is σ = 200303213022. Its totient is φ = 200303213020.

The previous prime is 200303213017. The next prime is 200303213023. The reversal of 200303213021 is 120312303002.

200303213021 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., 199585562500 + 717650521 = 446750^2 + 26789^2 .

It is a cyclic number.

It is not a de Polignac number, because 200303213021 - 22 = 200303213017 is a prime.

It is a super-2 number, since 2×2003032130212 (a number of 23 digits) contains 22 as substring.

Together with 200303213023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200303213023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100151606510 + 100151606511.

It is an arithmetic number, because the mean of its divisors is an integer number (100151606511).

Almost surely, 2200303213021 is an apocalyptic number.

It is an amenable number.

200303213021 is a deficient number, since it is larger than the sum of its proper divisors (1).

200303213021 is an equidigital number, since it uses as much as digits as its factorization.

200303213021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 200303213021 its reverse (120312303002), we get a palindrome (320615516023).

The spelling of 200303213021 in words is "two hundred billion, three hundred three million, two hundred thirteen thousand, twenty-one".