Search a number
-
+
1322223132313 is a prime number
BaseRepresentation
bin10011001111011010101…
…000111101111010011001
311200101220000002112200201
4103033122220331322121
5133130403110213223
62451230530302201
7164345631120526
oct23173250757231
94611800075621
101322223132313
1146a82a540446
12194309a27961
13978ba242785
1447dd2c1014d
15245d9e2bead
hex133daa3de99

1322223132313 has 2 divisors, whose sum is σ = 1322223132314. Its totient is φ = 1322223132312.

The previous prime is 1322223132311. The next prime is 1322223132323. The reversal of 1322223132313 is 3132313222231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1319998783744 + 2224348569 = 1148912^2 + 47163^2 .

It is a cyclic number.

It is not a de Polignac number, because 1322223132313 - 21 = 1322223132311 is a prime.

It is a super-2 number, since 2×13222231323132 (a number of 25 digits) contains 22 as substring.

Together with 1322223132311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1322223132311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661111566156 + 661111566157.

It is an arithmetic number, because the mean of its divisors is an integer number (661111566157).

Almost surely, 21322223132313 is an apocalyptic number.

It is an amenable number.

1322223132313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322223132313 is an equidigital number, since it uses as much as digits as its factorization.

1322223132313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7776, while the sum is 28.

Adding to 1322223132313 its reverse (3132313222231), we get a palindrome (4454536354544).

The spelling of 1322223132313 in words is "one trillion, three hundred twenty-two billion, two hundred twenty-three million, one hundred thirty-two thousand, three hundred thirteen".