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21221000233 is a prime number
BaseRepresentation
bin10011110000110111…
…101100010000101001
32000202221001111200121
4103300313230100221
5321430034001413
613425423403241
71350606345226
oct236067542051
960687044617
1021221000233
118aaa779624
124142a53521
132002642894
14105452094d
15843053b8d
hex4f0dec429

21221000233 has 2 divisors, whose sum is σ = 21221000234. Its totient is φ = 21221000232.

The previous prime is 21221000201. The next prime is 21221000257. The reversal of 21221000233 is 33200012212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20345313769 + 875686464 = 142637^2 + 29592^2 .

It is a cyclic number.

It is not a de Polignac number, because 21221000233 - 25 = 21221000201 is a prime.

It is not a weakly prime, because it can be changed into another prime (21221007233) 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, 10610500116 + 10610500117.

It is an arithmetic number, because the mean of its divisors is an integer number (10610500117).

Almost surely, 221221000233 is an apocalyptic number.

It is an amenable number.

21221000233 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221000233 is an equidigital number, since it uses as much as digits as its factorization.

21221000233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 21221000233 its reverse (33200012212), we get a palindrome (54421012445).

The spelling of 21221000233 in words is "twenty-one billion, two hundred twenty-one million, two hundred thirty-three", and thus it is an aban number.