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21213333217 is a prime number
BaseRepresentation
bin10011110000011010…
…011100011011100001
32000202101121222112001
4103300122130123201
5321421103130332
613424551204001
71350454233346
oct236032343341
960671558461
1021213333217
118aa641224a
124140376601
132000b89b9b
1410534c67cd
1584253c0e7
hex4f069c6e1

21213333217 has 2 divisors, whose sum is σ = 21213333218. Its totient is φ = 21213333216.

The previous prime is 21213333203. The next prime is 21213333359. The reversal of 21213333217 is 71233331212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14397840081 + 6815493136 = 119991^2 + 82556^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21213333217 is a prime.

It is not a weakly prime, because it can be changed into another prime (21213333517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10606666608 + 10606666609.

It is an arithmetic number, because the mean of its divisors is an integer number (10606666609).

Almost surely, 221213333217 is an apocalyptic number.

It is an amenable number.

21213333217 is a deficient number, since it is larger than the sum of its proper divisors (1).

21213333217 is an equidigital number, since it uses as much as digits as its factorization.

21213333217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 28.

Adding to 21213333217 its reverse (71233331212), we get a palindrome (92446664429).

It can be divided in two parts, 212133 and 33217, that added together give a triangular number (245350 = T700).

The spelling of 21213333217 in words is "twenty-one billion, two hundred thirteen million, three hundred thirty-three thousand, two hundred seventeen".