Search a number
-
+
332310010032053 is a prime number
BaseRepresentation
bin100101110001110111111010…
…0000110100110111110110101
31121120121112012222001112120022
41023203233310012212332311
5322024031400032011203
63134433035555214525
7126665414556363644
oct11343576406467665
91546545188045508
10332310010032053
119697a97a3a4919
123132baa5ba7445
13113569129c7801
145c0bc66dc935b
15286422c9b4a38
hex12e3bf41a6fb5

332310010032053 has 2 divisors, whose sum is σ = 332310010032054. Its totient is φ = 332310010032052.

The previous prime is 332310010032001. The next prime is 332310010032097. The reversal of 332310010032053 is 350230010013233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312202112854564 + 20107897177489 = 17669242^2 + 4484183^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-332310010032053 is a prime.

It is a super-2 number, since 2×3323100100320532 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332310010032853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166155005016026 + 166155005016027.

It is an arithmetic number, because the mean of its divisors is an integer number (166155005016027).

Almost surely, 2332310010032053 is an apocalyptic number.

It is an amenable number.

332310010032053 is a deficient number, since it is larger than the sum of its proper divisors (1).

332310010032053 is an equidigital number, since it uses as much as digits as its factorization.

332310010032053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 26.

Adding to 332310010032053 its reverse (350230010013233), we get a palindrome (682540020045286).

The spelling of 332310010032053 in words is "three hundred thirty-two trillion, three hundred ten billion, ten million, thirty-two thousand, fifty-three".