Search a number
-
+
21003021330229 is a prime number
BaseRepresentation
bin1001100011010001001011…
…01000000010011100110101
32202100212110200001102001101
410301220211220002130311
510223103141430031404
6112400353234130101
74265263306452601
oct461504550023465
982325420042041
1021003021330229
116768370aa2064
122432639420931
13b947654c1833
145287a1a60501
1526650b9a62a4
hex131a25a02735

21003021330229 has 2 divisors, whose sum is σ = 21003021330230. Its totient is φ = 21003021330228.

The previous prime is 21003021330227. The next prime is 21003021330233. The reversal of 21003021330229 is 92203312030012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20935447327729 + 67574002500 = 4575527^2 + 259950^2 .

It is a cyclic number.

It is not a de Polignac number, because 21003021330229 - 21 = 21003021330227 is a prime.

It is a super-2 number, since 2×210030213302292 (a number of 27 digits) contains 22 as substring.

Together with 21003021330227, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 21003021330197 and 21003021330206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21003021330223) 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, 10501510665114 + 10501510665115.

It is an arithmetic number, because the mean of its divisors is an integer number (10501510665115).

Almost surely, 221003021330229 is an apocalyptic number.

It is an amenable number.

21003021330229 is a deficient number, since it is larger than the sum of its proper divisors (1).

21003021330229 is an equidigital number, since it uses as much as digits as its factorization.

21003021330229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 21003021330229 in words is "twenty-one trillion, three billion, twenty-one million, three hundred thirty thousand, two hundred twenty-nine".