Search a number
-
+
2221130331031 is a prime number
BaseRepresentation
bin100000010100100101101…
…011110011001110010111
321212100010101120120101111
4200110211223303032113
5242342333331043111
64420212335235451
7316320452206513
oct40244553631627
97770111516344
102221130331031
11786a81192487
122ba578078b87
131315b449b6b1
147970900d143
153cb9b545a21
hex20525af3397

2221130331031 has 2 divisors, whose sum is σ = 2221130331032. Its totient is φ = 2221130331030.

The previous prime is 2221130331029. The next prime is 2221130331053. The reversal of 2221130331031 is 1301330311222.

2221130331031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (2221130331053) can be obtained adding 2221130331031 to its sum of digits (22).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2221130331031 - 21 = 2221130331029 is a prime.

It is a super-2 number, since 2×22211303310312 (a number of 25 digits) contains 22 as substring.

Together with 2221130331029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2221130330993 and 2221130331011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221130331061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110565165515 + 1110565165516.

It is an arithmetic number, because the mean of its divisors is an integer number (1110565165516).

Almost surely, 22221130331031 is an apocalyptic number.

2221130331031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221130331031 is an equidigital number, since it uses as much as digits as its factorization.

2221130331031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 2221130331031 its reverse (1301330311222), we get a palindrome (3522460642253).

The spelling of 2221130331031 in words is "two trillion, two hundred twenty-one billion, one hundred thirty million, three hundred thirty-one thousand, thirty-one".