Search a number
-
+
1130113333301 is a prime number
BaseRepresentation
bin10000011100100000000…
…000001111100000110101
311000001000112121121011112
4100130200000033200311
5122003433003131201
62223100014444405
7144435155560121
oct20344000174065
94001015547145
101130113333301
113a6307573007
12163034803705
13827527a19a4
143c9aa9b4581
151e5e45150bb
hex1072000f835

1130113333301 has 2 divisors, whose sum is σ = 1130113333302. Its totient is φ = 1130113333300.

The previous prime is 1130113333289. The next prime is 1130113333303. The reversal of 1130113333301 is 1033333110311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1002799957201 + 127313376100 = 1001399^2 + 356810^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1130113333301 is a prime.

It is a super-2 number, since 2×11301133333012 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 1130113333303, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1130113333303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 565056666650 + 565056666651.

It is an arithmetic number, because the mean of its divisors is an integer number (565056666651).

Almost surely, 21130113333301 is an apocalyptic number.

It is an amenable number.

1130113333301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1130113333301 is an equidigital number, since it uses as much as digits as its factorization.

1130113333301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 1130113333301 its reverse (1033333110311), we get a palindrome (2163446443612).

The spelling of 1130113333301 in words is "one trillion, one hundred thirty billion, one hundred thirteen million, three hundred thirty-three thousand, three hundred one".