Search a number
-
+
1033132231331 is a prime number
BaseRepresentation
bin11110000100010110111…
…10101100101010100011
310122202200202120011110222
433002023132230222203
5113411323322400311
62110340413113255
7134432660033444
oct17021336545243
93582622504428
101033132231331
11369170235762
12148289a8882b
1376568562455
143800a8792cb
151bd1a353adb
hexf08b7acaa3

1033132231331 has 2 divisors, whose sum is σ = 1033132231332. Its totient is φ = 1033132231330.

The previous prime is 1033132231321. The next prime is 1033132231337. The reversal of 1033132231331 is 1331322313301.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1033132231331 is a prime.

It is a super-2 number, since 2×10331322313312 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1033132231331.

It is not a weakly prime, because it can be changed into another prime (1033132231337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516566115665 + 516566115666.

It is an arithmetic number, because the mean of its divisors is an integer number (516566115666).

Almost surely, 21033132231331 is an apocalyptic number.

1033132231331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033132231331 is an equidigital number, since it uses as much as digits as its factorization.

1033132231331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1033132231331 its reverse (1331322313301), we get a palindrome (2364454544632).

The spelling of 1033132231331 in words is "one trillion, thirty-three billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred thirty-one".