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2221133103041 is a prime number
BaseRepresentation
bin100000010100100101110…
…110010111111111000001
321212100010120210101212112
4200110211312113333001
5242342340033244131
64420212514505105
7316320514603256
oct40244566277701
97770116711775
102221133103041
11786a828060a6
122ba578b95195
131315b4c2c338
147970953142d
153cb9b8e202b
hex20525d97fc1

2221133103041 has 2 divisors, whose sum is σ = 2221133103042. Its totient is φ = 2221133103040.

The previous prime is 2221133103031. The next prime is 2221133103097. The reversal of 2221133103041 is 1403013311222.

2221133103041 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., 2098268131600 + 122864971441 = 1448540^2 + 350521^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221133103041 - 26 = 2221133102977 is a prime.

It is a super-2 number, since 2×22211331030412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2221133102998 and 2221133103016.

It is not a weakly prime, because it can be changed into another prime (2221133103011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110566551520 + 1110566551521.

It is an arithmetic number, because the mean of its divisors is an integer number (1110566551521).

Almost surely, 22221133103041 is an apocalyptic number.

It is an amenable number.

2221133103041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221133103041 is an equidigital number, since it uses as much as digits as its factorization.

2221133103041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2221133103041 its reverse (1403013311222), we get a palindrome (3624146414263).

The spelling of 2221133103041 in words is "two trillion, two hundred twenty-one billion, one hundred thirty-three million, one hundred three thousand, forty-one".