Search a number
-
+
2231300223133 is a prime number
BaseRepresentation
bin100000011110000011110…
…110110111000010011101
321220022101011000121122221
4200132003312313002131
5243024200324120013
64425013431305341
7320130461650642
oct40360366670235
97808334017587
102231300223133
1179031a895993
12300535b1b251
13132545431027
1479dd1957dc9
153d0942b208d
hex20783db709d

2231300223133 has 2 divisors, whose sum is σ = 2231300223134. Its totient is φ = 2231300223132.

The previous prime is 2231300223079. The next prime is 2231300223223. The reversal of 2231300223133 is 3313220031322.

2231300223133 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., 2073248654884 + 158051568249 = 1439878^2 + 397557^2 .

It is a cyclic number.

It is not a de Polignac number, because 2231300223133 - 229 = 2230763352221 is a prime.

It is a super-3 number, since 3×22313002231333 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231300223098 and 2231300223107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2231300220133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115650111566 + 1115650111567.

It is an arithmetic number, because the mean of its divisors is an integer number (1115650111567).

Almost surely, 22231300223133 is an apocalyptic number.

It is an amenable number.

2231300223133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231300223133 is an equidigital number, since it uses as much as digits as its factorization.

2231300223133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 2231300223133 its reverse (3313220031322), we get a palindrome (5544520254455).

The spelling of 2231300223133 in words is "two trillion, two hundred thirty-one billion, three hundred million, two hundred twenty-three thousand, one hundred thirty-three".