Search a number
-
+
221301355013 is a prime number
BaseRepresentation
bin1100111000011010010…
…1101011001000000101
3210011012212112122012222
43032012211223020011
512111211121330023
6245355304022125
721663024323564
oct3160645531005
9704185478188
10221301355013
1185942933532
1236a81461945
1317b3a4b775b
14a9d515bbdb
155b5359bcc8
hex338696b205

221301355013 has 2 divisors, whose sum is σ = 221301355014. Its totient is φ = 221301355012.

The previous prime is 221301354991. The next prime is 221301355021. The reversal of 221301355013 is 310553103122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208039068769 + 13262286244 = 456113^2 + 115162^2 .

It is a cyclic number.

It is not a de Polignac number, because 221301355013 - 216 = 221301289477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221301355213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110650677506 + 110650677507.

It is an arithmetic number, because the mean of its divisors is an integer number (110650677507).

Almost surely, 2221301355013 is an apocalyptic number.

It is an amenable number.

221301355013 is a deficient number, since it is larger than the sum of its proper divisors (1).

221301355013 is an equidigital number, since it uses as much as digits as its factorization.

221301355013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 221301355013 its reverse (310553103122), we get a palindrome (531854458135).

The spelling of 221301355013 in words is "two hundred twenty-one billion, three hundred one million, three hundred fifty-five thousand, thirteen".