Search a number
-
+
21001022211109 is a prime number
BaseRepresentation
bin1001100011001101011100…
…11110000000010000100101
32202100200022100100122011111
410301212232132000100211
510223040043141223414
6112355423022105021
74265162623310143
oct461465636002045
982320270318144
1021001022211109
1167675355a72a6
12243217ba1b171
13b94507295405
14528652354593
152664412198c4
hex1319ae780425

21001022211109 has 2 divisors, whose sum is σ = 21001022211110. Its totient is φ = 21001022211108.

The previous prime is 21001022211061. The next prime is 21001022211119. The reversal of 21001022211109 is 90111222010012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19773185357025 + 1227836854084 = 4446705^2 + 1108078^2 .

It is a cyclic number.

It is not a de Polignac number, because 21001022211109 - 227 = 21000887993381 is a prime.

It is a super-2 number, since 2×210010222111092 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21001022211109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21001022211119) 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, 10500511105554 + 10500511105555.

It is an arithmetic number, because the mean of its divisors is an integer number (10500511105555).

Almost surely, 221001022211109 is an apocalyptic number.

It is an amenable number.

21001022211109 is a deficient number, since it is larger than the sum of its proper divisors (1).

21001022211109 is an equidigital number, since it uses as much as digits as its factorization.

21001022211109 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 22.

The spelling of 21001022211109 in words is "twenty-one trillion, one billion, twenty-two million, two hundred eleven thousand, one hundred nine".