Search a number
-
+
221110010021 is a prime number
BaseRepresentation
bin1100110111101100101…
…1110000000010100101
3210010201112111022020102
43031323023300002211
512110313130310041
6245324310513445
721655212034505
oct3157313600245
9703645438212
10221110010021
118585492217a
1236a29365885
1317b09970a74
14a9b798da05
155b418a209b
hex337b2f00a5

221110010021 has 2 divisors, whose sum is σ = 221110010022. Its totient is φ = 221110010020.

The previous prime is 221110009979. The next prime is 221110010113. The reversal of 221110010021 is 120010011122.

221110010021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187653576100 + 33456433921 = 433190^2 + 182911^2 .

It is a cyclic number.

It is not a de Polignac number, because 221110010021 - 230 = 220036268197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221110009984 and 221110010011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221110010521) 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, 110555005010 + 110555005011.

It is an arithmetic number, because the mean of its divisors is an integer number (110555005011).

Almost surely, 2221110010021 is an apocalyptic number.

It is an amenable number.

221110010021 is a deficient number, since it is larger than the sum of its proper divisors (1).

221110010021 is an equidigital number, since it uses as much as digits as its factorization.

221110010021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221110010021 its reverse (120010011122), we get a palindrome (341120021143).

The spelling of 221110010021 in words is "two hundred twenty-one billion, one hundred ten million, ten thousand, twenty-one".