Search a number
-
+
1133030310101 is a prime number
BaseRepresentation
bin10000011111001101110…
…111101000000011010101
311000022112211102101002022
4100133031313220003111
5122030421224410401
62224301255422525
7144600355505504
oct20371567500325
94008484371068
101133030310101
113a7574087938
12163709684a45
1382ac8c07a71
143cba616883b
151e71565971b
hex107cdde80d5

1133030310101 has 2 divisors, whose sum is σ = 1133030310102. Its totient is φ = 1133030310100.

The previous prime is 1133030310079. The next prime is 1133030310103. The reversal of 1133030310101 is 1010130303311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 958411630225 + 174618679876 = 978985^2 + 417874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1133030310101 is a prime.

Together with 1133030310103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1133030310101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1133030310103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 566515155050 + 566515155051.

It is an arithmetic number, because the mean of its divisors is an integer number (566515155051).

Almost surely, 21133030310101 is an apocalyptic number.

It is an amenable number.

1133030310101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133030310101 is an equidigital number, since it uses as much as digits as its factorization.

1133030310101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 1133030310101 its reverse (1010130303311), we get a palindrome (2143160613412).

The spelling of 1133030310101 in words is "one trillion, one hundred thirty-three billion, thirty million, three hundred ten thousand, one hundred one".