Search a number
-
+
1000233223331 is a prime number
BaseRepresentation
bin11101000111000101000…
…10111100010010100011
310112121202222021101202012
432203202202330102203
5112341434201121311
62043300101143135
7132156466055306
oct16434242742243
93477688241665
101000233223331
11356218640051
12141a280baaab
13734246b6004
14365a93d6b3d
151b041e8478b
hexe8e28bc4a3

1000233223331 has 2 divisors, whose sum is σ = 1000233223332. Its totient is φ = 1000233223330.

The previous prime is 1000233223247. The next prime is 1000233223393. The reversal of 1000233223331 is 1333223320001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000233223331 is a prime.

It is a super-2 number, since 2×10002332233312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000233223297 and 1000233223306.

It is not a weakly prime, because it can be changed into another prime (1000233223631) 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, 500116611665 + 500116611666.

It is an arithmetic number, because the mean of its divisors is an integer number (500116611666).

Almost surely, 21000233223331 is an apocalyptic number.

1000233223331 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000233223331 is an equidigital number, since it uses as much as digits as its factorization.

1000233223331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 1000233223331 its reverse (1333223320001), we get a palindrome (2333456543332).

The spelling of 1000233223331 in words is "one trillion, two hundred thirty-three million, two hundred twenty-three thousand, three hundred thirty-one".