Search a number
-
+
213131110042889 is a prime number
BaseRepresentation
bin110000011101011101110100…
…000110101100110100001001
31000221122010122111210212001022
4300131131310012230310021
5210413420003132333024
62033143025201202225
762615133410135213
oct6035356406546411
91027563574725038
10213131110042889
1161a0143a336895
121baa22a1630375
1391c023caa7a1c
143a8b85a7095b3
151999068c5635e
hexc1d7741acd09

213131110042889 has 2 divisors, whose sum is σ = 213131110042890. Its totient is φ = 213131110042888.

The previous prime is 213131110042883. The next prime is 213131110042909. The reversal of 213131110042889 is 988240011131312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187273203648400 + 25857906394489 = 13684780^2 + 5085067^2 .

It is a cyclic number.

It is not a de Polignac number, because 213131110042889 - 216 = 213131109977353 is a prime.

It is a super-2 number, since 2×2131311100428892 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213131110042883) 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, 106565555021444 + 106565555021445.

It is an arithmetic number, because the mean of its divisors is an integer number (106565555021445).

Almost surely, 2213131110042889 is an apocalyptic number.

It is an amenable number.

213131110042889 is a deficient number, since it is larger than the sum of its proper divisors (1).

213131110042889 is an equidigital number, since it uses as much as digits as its factorization.

213131110042889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 44.

The spelling of 213131110042889 in words is "two hundred thirteen trillion, one hundred thirty-one billion, one hundred ten million, forty-two thousand, eight hundred eighty-nine".