Search a number
-
+
221310020013317 is a prime number
BaseRepresentation
bin110010010100011111000001…
…001000001100110100000101
31002000121000211210212102200122
4302110133001020030310011
5213001420410110411232
62102404230350551325
764421056414615664
oct6224370110146405
91060530753772618
10221310020013317
1164575063836914
12209a3445b08545
1396645a35439c1
143c916680bcddb
151a8bbac85d312
hexc947c120cd05

221310020013317 has 2 divisors, whose sum is σ = 221310020013318. Its totient is φ = 221310020013316.

The previous prime is 221310020013293. The next prime is 221310020013371. The reversal of 221310020013317 is 713310020013122.

Together with next prime (221310020013371) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187642162648516 + 33667857364801 = 13698254^2 + 5802401^2 .

It is a cyclic number.

It is not a de Polignac number, because 221310020013317 - 240 = 220210508385541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221310020012317) 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, 110655010006658 + 110655010006659.

It is an arithmetic number, because the mean of its divisors is an integer number (110655010006659).

Almost surely, 2221310020013317 is an apocalyptic number.

It is an amenable number.

221310020013317 is a deficient number, since it is larger than the sum of its proper divisors (1).

221310020013317 is an equidigital number, since it uses as much as digits as its factorization.

221310020013317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 221310020013317 its reverse (713310020013122), we get a palindrome (934620040026439).

The spelling of 221310020013317 in words is "two hundred twenty-one trillion, three hundred ten billion, twenty million, thirteen thousand, three hundred seventeen".