Search a number
-
+
214202243131 is a prime number
BaseRepresentation
bin1100011101111101110…
…0101101100000111011
3202110220010022101111021
43013133130231200323
512002141233240011
6242223025243311
721322063011442
oct3073734554073
9673803271437
10214202243131
118292a644718
123561ba93537
13172787bc336
14a5203a1d59
15588a206471
hex31df72d83b

214202243131 has 2 divisors, whose sum is σ = 214202243132. Its totient is φ = 214202243130.

The previous prime is 214202243093. The next prime is 214202243179. The reversal of 214202243131 is 131342202412.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214202243131 is a prime.

It is a super-2 number, since 2×2142022431312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214202243096 and 214202243105.

It is not a weakly prime, because it can be changed into another prime (214202243531) 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, 107101121565 + 107101121566.

It is an arithmetic number, because the mean of its divisors is an integer number (107101121566).

Almost surely, 2214202243131 is an apocalyptic number.

214202243131 is a deficient number, since it is larger than the sum of its proper divisors (1).

214202243131 is an equidigital number, since it uses as much as digits as its factorization.

214202243131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 214202243131 its reverse (131342202412), we get a palindrome (345544445543).

The spelling of 214202243131 in words is "two hundred fourteen billion, two hundred two million, two hundred forty-three thousand, one hundred thirty-one".