Search a number
-
+
23333023220321 is a prime number
BaseRepresentation
bin1010100111000101001001…
…00011111000001001100001
310001121121121111200012212002
411103202210203320021201
511024242012421022241
6121343013133013345
74625520031653533
oct523424443701141
9101547544605762
1023333023220321
117486530354231
12274a11a324255
1310033aa45bc99
145a947802d853
152a6e2aee189b
hex1538a48f8261

23333023220321 has 2 divisors, whose sum is σ = 23333023220322. Its totient is φ = 23333023220320.

The previous prime is 23333023220257. The next prime is 23333023220333. The reversal of 23333023220321 is 12302232033332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19238224099600 + 4094799120721 = 4386140^2 + 2023561^2 .

It is a cyclic number.

It is not a de Polignac number, because 23333023220321 - 26 = 23333023220257 is a prime.

It is not a weakly prime, because it can be changed into another prime (23333026220321) 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, 11666511610160 + 11666511610161.

It is an arithmetic number, because the mean of its divisors is an integer number (11666511610161).

Almost surely, 223333023220321 is an apocalyptic number.

It is an amenable number.

23333023220321 is a deficient number, since it is larger than the sum of its proper divisors (1).

23333023220321 is an equidigital number, since it uses as much as digits as its factorization.

23333023220321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 23333023220321 its reverse (12302232033332), we get a palindrome (35635255253653).

The spelling of 23333023220321 in words is "twenty-three trillion, three hundred thirty-three billion, twenty-three million, two hundred twenty thousand, three hundred twenty-one".