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21003333313 is a prime number
BaseRepresentation
bin10011100011111001…
…010110111011000001
32000012202110212210211
4103203321112323001
5321003323131223
613352050154121
71342324246624
oct234371267301
960182425724
1021003333313
1189a891a206
1240a1b82941
131c995110a1
14103365ddbb
1582dda9d0d
hex4e3e56ec1

21003333313 has 2 divisors, whose sum is σ = 21003333314. Its totient is φ = 21003333312.

The previous prime is 21003333293. The next prime is 21003333319. The reversal of 21003333313 is 31333330012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17384949904 + 3618383409 = 131852^2 + 60153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21003333313 is a prime.

It is a super-2 number, since 2×210033333132 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21003333319) 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, 10501666656 + 10501666657.

It is an arithmetic number, because the mean of its divisors is an integer number (10501666657).

Almost surely, 221003333313 is an apocalyptic number.

It is an amenable number.

21003333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21003333313 is an equidigital number, since it uses as much as digits as its factorization.

21003333313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 21003333313 its reverse (31333330012), we get a palindrome (52336663325).

The spelling of 21003333313 in words is "twenty-one billion, three million, three hundred thirty-three thousand, three hundred thirteen".