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21221242033 is a prime number
BaseRepresentation
bin10011110000111000…
…100111010010110001
32000202221111210101011
4103300320213102301
5321430114221113
613425432510521
71350611403205
oct236070472261
960687453334
1021221242033
118aaa924262
124142b4b441
1320026c8964
141054584b05
158430a063d
hex4f0e274b1

21221242033 has 2 divisors, whose sum is σ = 21221242034. Its totient is φ = 21221242032.

The previous prime is 21221242019. The next prime is 21221242039. The reversal of 21221242033 is 33024212212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14558111649 + 6663130384 = 120657^2 + 81628^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21221242033 is a prime.

It is a super-2 number, since 2×212212420332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21221241995 and 21221242013.

It is not a weakly prime, because it can be changed into another prime (21221242039) 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, 10610621016 + 10610621017.

It is an arithmetic number, because the mean of its divisors is an integer number (10610621017).

Almost surely, 221221242033 is an apocalyptic number.

It is an amenable number.

21221242033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221242033 is an equidigital number, since it uses as much as digits as its factorization.

21221242033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 21221242033 its reverse (33024212212), we get a palindrome (54245454245).

The spelling of 21221242033 in words is "twenty-one billion, two hundred twenty-one million, two hundred forty-two thousand, thirty-three".