Search a number
-
+
182020000213 is a prime number
BaseRepresentation
bin1010100110000100111…
…1001100100111010101
3122101211021202001121101
42221201033030213111
510440234110001323
6215341400150101
716102424321362
oct2514117144725
9571737661541
10182020000213
11702155aa247
122b33a168331
131421a2a214c
148b4a1bd469
154b04c1bdad
hex2a613cc9d5

182020000213 has 2 divisors, whose sum is σ = 182020000214. Its totient is φ = 182020000212.

The previous prime is 182020000193. The next prime is 182020000259. The reversal of 182020000213 is 312000020281.

182020000213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115269077169 + 66750923044 = 339513^2 + 258362^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-182020000213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (182020000913) 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, 91010000106 + 91010000107.

It is an arithmetic number, because the mean of its divisors is an integer number (91010000107).

Almost surely, 2182020000213 is an apocalyptic number.

It is an amenable number.

182020000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

182020000213 is an equidigital number, since it uses as much as digits as its factorization.

182020000213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 182020000213 its reverse (312000020281), we get a palindrome (494020020494).

The spelling of 182020000213 in words is "one hundred eighty-two billion, twenty million, two hundred thirteen", and thus it is an aban number.