Search a number
-
+
1331252120041 is a prime number
BaseRepresentation
bin10011010111110100110…
…011110100100111101001
311201021012020201122101121
4103113310303310213221
5133302401020320131
62455322505015241
7165115445213104
oct23276463644751
94637166648347
101331252120041
11473643130578
12196009784521
13986c8a0206c
144860c00d73b
1524967932911
hex135f4cf49e9

1331252120041 has 2 divisors, whose sum is σ = 1331252120042. Its totient is φ = 1331252120040.

The previous prime is 1331252120017. The next prime is 1331252120089. The reversal of 1331252120041 is 1400212521331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1315847586816 + 15404533225 = 1147104^2 + 124115^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331252120041 is a prime.

It is a super-2 number, since 2×13312521200412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331252119988 and 1331252120015.

It is not a weakly prime, because it can be changed into another prime (1331252120741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665626060020 + 665626060021.

It is an arithmetic number, because the mean of its divisors is an integer number (665626060021).

Almost surely, 21331252120041 is an apocalyptic number.

It is an amenable number.

1331252120041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331252120041 is an equidigital number, since it uses as much as digits as its factorization.

1331252120041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1331252120041 its reverse (1400212521331), we get a palindrome (2731464641372).

The spelling of 1331252120041 in words is "one trillion, three hundred thirty-one billion, two hundred fifty-two million, one hundred twenty thousand, forty-one".