Search a number
-
+
10233131333 is a prime number
BaseRepresentation
bin10011000011111000…
…10011000101000101
3222102011102221012012
421201330103011011
5131424140200313
64411231304005
7511405116065
oct114174230505
928364387165
1010233131333
114381377037
121b9707b005
13c710a4ac9
146d10cb3a5
153ed5adda8
hex261f13145

10233131333 has 2 divisors, whose sum is σ = 10233131334. Its totient is φ = 10233131332.

The previous prime is 10233131243. The next prime is 10233131369. The reversal of 10233131333 is 33313133201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9891694849 + 341436484 = 99457^2 + 18478^2 .

It is an emirp because it is prime and its reverse (33313133201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10233131333 - 210 = 10233130309 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10233131299 and 10233131308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10233131393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5116565666 + 5116565667.

It is an arithmetic number, because the mean of its divisors is an integer number (5116565667).

Almost surely, 210233131333 is an apocalyptic number.

It is an amenable number.

10233131333 is a deficient number, since it is larger than the sum of its proper divisors (1).

10233131333 is an equidigital number, since it uses as much as digits as its factorization.

10233131333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 10233131333 its reverse (33313133201), we get a palindrome (43546264534).

The spelling of 10233131333 in words is "ten billion, two hundred thirty-three million, one hundred thirty-one thousand, three hundred thirty-three".