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21001032022301 is a prime number
BaseRepresentation
bin1001100011001101011110…
…00011011011100100011101
32202100200100000211002120222
410301212233003123210131
510223040103144203201
6112355424012251125
74265163102562202
oct461465703334435
982320300732528
1021001032022301
116767540098621
122432183170aa5
13b9450931c056
14528653789ca9
1526644200691b
hex1319af0db91d

21001032022301 has 2 divisors, whose sum is σ = 21001032022302. Its totient is φ = 21001032022300.

The previous prime is 21001032022291. The next prime is 21001032022303. The reversal of 21001032022301 is 10322023010012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18329752318276 + 2671279704025 = 4281326^2 + 1634405^2 .

It is a cyclic number.

It is not a de Polignac number, because 21001032022301 - 238 = 20726154115357 is a prime.

It is a super-2 number, since 2×210010320223012 (a number of 27 digits) contains 22 as substring.

Together with 21001032022303, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21001032022301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21001032022303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500516011150 + 10500516011151.

It is an arithmetic number, because the mean of its divisors is an integer number (10500516011151).

Almost surely, 221001032022301 is an apocalyptic number.

It is an amenable number.

21001032022301 is a deficient number, since it is larger than the sum of its proper divisors (1).

21001032022301 is an equidigital number, since it uses as much as digits as its factorization.

21001032022301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 21001032022301 its reverse (10322023010012), we get a palindrome (31323055032313).

The spelling of 21001032022301 in words is "twenty-one trillion, one billion, thirty-two million, twenty-two thousand, three hundred one".