Search a number
-
+
32221441023241 is a prime number
BaseRepresentation
bin1110101001110001000111…
…00010111101110100001001
311020002100011121220010110111
413110320203202331310021
513210404002400220431
6152310154201514321
76533631226500151
oct724704342756411
9136070147803414
1032221441023241
11a2a30444a0158
1237448934a29a1
1314c96130b0392
147d5751753761
153ad2487417b1
hex1d4e238bdd09

32221441023241 has 2 divisors, whose sum is σ = 32221441023242. Its totient is φ = 32221441023240.

The previous prime is 32221441023193. The next prime is 32221441023251. The reversal of 32221441023241 is 14232014412223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21372092016016 + 10849349007225 = 4622996^2 + 3293835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32221441023241 is a prime.

It is a super-2 number, since 2×322214410232412 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (32221441023251) 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, 16110720511620 + 16110720511621.

It is an arithmetic number, because the mean of its divisors is an integer number (16110720511621).

Almost surely, 232221441023241 is an apocalyptic number.

It is an amenable number.

32221441023241 is a deficient number, since it is larger than the sum of its proper divisors (1).

32221441023241 is an equidigital number, since it uses as much as digits as its factorization.

32221441023241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 32221441023241 its reverse (14232014412223), we get a palindrome (46453455435464).

The spelling of 32221441023241 in words is "thirty-two trillion, two hundred twenty-one billion, four hundred forty-one million, twenty-three thousand, two hundred forty-one".