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232033012033 is a prime number
BaseRepresentation
bin1101100000011000111…
…1101100100101000001
3211011220210001022002111
43120012033230211001
512300200422341113
6254332224415321
722522665026434
oct3300617544501
9734823038074
10232033012033
118a44a64a269
1238b77477541
1318b5a949574
14b33253981b
1560807d213d
hex36063ec941

232033012033 has 2 divisors, whose sum is σ = 232033012034. Its totient is φ = 232033012032.

The previous prime is 232033011997. The next prime is 232033012039. The reversal of 232033012033 is 330210330232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175366637824 + 56666374209 = 418768^2 + 238047^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-232033012033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232033011995 and 232033012013.

It is not a weakly prime, because it can be changed into another prime (232033012039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116016506016 + 116016506017.

It is an arithmetic number, because the mean of its divisors is an integer number (116016506017).

Almost surely, 2232033012033 is an apocalyptic number.

It is an amenable number.

232033012033 is a deficient number, since it is larger than the sum of its proper divisors (1).

232033012033 is an equidigital number, since it uses as much as digits as its factorization.

232033012033 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 22.

Adding to 232033012033 its reverse (330210330232), we get a palindrome (562243342265).

The spelling of 232033012033 in words is "two hundred thirty-two billion, thirty-three million, twelve thousand, thirty-three".