Search a number
-
+
1033010211133 is a prime number
BaseRepresentation
bin11110000100001000011…
…01001110100100111101
310122202101020221220020101
433002010031032210331
5113411101103224013
62110320333521101
7134426645626435
oct17020415164475
93582336856211
101033010211133
1136910837411a
12148255043191
13765491abb54
1437dd85952c5
151bd0e79e8dd
hexf08434e93d

1033010211133 has 2 divisors, whose sum is σ = 1033010211134. Its totient is φ = 1033010211132.

The previous prime is 1033010210989. The next prime is 1033010211241. The reversal of 1033010211133 is 3311120103301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1016390618244 + 16619592889 = 1008162^2 + 128917^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033010211133 - 29 = 1033010210621 is a prime.

It is a super-2 number, since 2×10330102111332 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1033010211133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033010211433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516505105566 + 516505105567.

It is an arithmetic number, because the mean of its divisors is an integer number (516505105567).

Almost surely, 21033010211133 is an apocalyptic number.

It is an amenable number.

1033010211133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033010211133 is an equidigital number, since it uses as much as digits as its factorization.

1033010211133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 1033010211133 its reverse (3311120103301), we get a palindrome (4344130314434).

The spelling of 1033010211133 in words is "one trillion, thirty-three billion, ten million, two hundred eleven thousand, one hundred thirty-three".