Search a number
-
+
21002000221 is a prime number
BaseRepresentation
bin10011100011110100…
…010001011101011101
32000012122222011011001
4103203310101131131
5321003003001341
613352001430301
71342310025226
oct234364213535
960178864131
1021002000221
1189a8099684
1240a163b391
131c99165387
1410333d424d
1582dbe4d31
hex4e3d1175d

21002000221 has 2 divisors, whose sum is σ = 21002000222. Its totient is φ = 21002000220.

The previous prime is 21002000207. The next prime is 21002000233. The reversal of 21002000221 is 12200020012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14038932196 + 6963068025 = 118486^2 + 83445^2 .

It is a cyclic number.

It is not a de Polignac number, because 21002000221 - 215 = 21001967453 is a prime.

It is a super-3 number, since 3×210020002213 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21002000198 and 21002000207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21002000251) 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, 10501000110 + 10501000111.

It is an arithmetic number, because the mean of its divisors is an integer number (10501000111).

Almost surely, 221002000221 is an apocalyptic number.

It is an amenable number.

21002000221 is a deficient number, since it is larger than the sum of its proper divisors (1).

21002000221 is an equidigital number, since it uses as much as digits as its factorization.

21002000221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21002000221 its reverse (12200020012), we get a palindrome (33202020233).

The spelling of 21002000221 in words is "twenty-one billion, two million, two hundred twenty-one", and thus it is an aban number.