Search a number
-
+
333223233012181 is a prime number
BaseRepresentation
bin100101111000100001001010…
…0011011110100000111010101
31121200211211102001012121111101
41023301002110123310013111
5322134012140122342211
63140412350121110101
7130121404231546651
oct11361022433640725
91550754361177441
10333223233012181
11971a21a7a18366
1231458a8a628331
13113c1a7bac75c5
145c4013a5c1a61
15287cd7acdb5c1
hex12f10946f41d5

333223233012181 has 2 divisors, whose sum is σ = 333223233012182. Its totient is φ = 333223233012180.

The previous prime is 333223233012179. The next prime is 333223233012217. The reversal of 333223233012181 is 181210332322333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 262931089522500 + 70292143489681 = 16215150^2 + 8384041^2 .

It is a cyclic number.

It is not a de Polignac number, because 333223233012181 - 21 = 333223233012179 is a prime.

It is a super-2 number, since 2×3332232330121812 (a number of 30 digits) contains 22 as substring.

Together with 333223233012179, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 333223233012181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (333223233016181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166611616506090 + 166611616506091.

It is an arithmetic number, because the mean of its divisors is an integer number (166611616506091).

Almost surely, 2333223233012181 is an apocalyptic number.

It is an amenable number.

333223233012181 is a deficient number, since it is larger than the sum of its proper divisors (1).

333223233012181 is an equidigital number, since it uses as much as digits as its factorization.

333223233012181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 333223233012181 in words is "three hundred thirty-three trillion, two hundred twenty-three billion, two hundred thirty-three million, twelve thousand, one hundred eighty-one".