Search a number
-
+
202731342133253 is a prime number
BaseRepresentation
bin101110000110001000010001…
…101000011111100000000101
3222120210221000210201122100112
4232012020101220133200011
5203033022242041231003
61555101254242322405
760462566435350103
oct5606102150374005
9876727023648315
10202731342133253
115966197449139a
121a8a2838359405
138917639422a5b
14380c36c190c73
1518687929b23d8
hexb86211a1f805

202731342133253 has 2 divisors, whose sum is σ = 202731342133254. Its totient is φ = 202731342133252.

The previous prime is 202731342133217. The next prime is 202731342133273. The reversal of 202731342133253 is 352331243137202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191767574832289 + 10963767300964 = 13848017^2 + 3311158^2 .

It is a cyclic number.

It is not a de Polignac number, because 202731342133253 - 210 = 202731342132229 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202731342133253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202731342133273) 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, 101365671066626 + 101365671066627.

It is an arithmetic number, because the mean of its divisors is an integer number (101365671066627).

Almost surely, 2202731342133253 is an apocalyptic number.

It is an amenable number.

202731342133253 is a deficient number, since it is larger than the sum of its proper divisors (1).

202731342133253 is an equidigital number, since it uses as much as digits as its factorization.

202731342133253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 41.

The spelling of 202731342133253 in words is "two hundred two trillion, seven hundred thirty-one billion, three hundred forty-two million, one hundred thirty-three thousand, two hundred fifty-three".