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13000232233 is a prime number
BaseRepresentation
bin11000001101101111…
…11100110100101001
31020120000020020000201
430012313330310221
5203111024412413
65550000032201
7640105102462
oct140667746451
936500206021
1013000232233
11557132398a
122629902661
1312c2453611
148b47c9d69
1551149a9dd
hex306dfcd29

13000232233 has 2 divisors, whose sum is σ = 13000232234. Its totient is φ = 13000232232.

The previous prime is 13000232209. The next prime is 13000232237. The reversal of 13000232233 is 33223200031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12448311184 + 551921049 = 111572^2 + 23493^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13000232233 is a prime.

It is a super-2 number, since 2×130002322332 (a number of 21 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 13000232233.

It is not a weakly prime, because it can be changed into another prime (13000232237) 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, 6500116116 + 6500116117.

It is an arithmetic number, because the mean of its divisors is an integer number (6500116117).

Almost surely, 213000232233 is an apocalyptic number.

It is an amenable number.

13000232233 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000232233 is an equidigital number, since it uses as much as digits as its factorization.

13000232233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 13000232233 its reverse (33223200031), we get a palindrome (46223432264).

The spelling of 13000232233 in words is "thirteen billion, two hundred thirty-two thousand, two hundred thirty-three".