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221231011301 is a prime number
BaseRepresentation
bin1100111000001001100…
…1010101010111100101
3210011000222011210210022
43032002121111113211
512111040114330201
6245344312204525
721661211366066
oct3160231252745
9704028153708
10221231011301
1185907158233
1236a61999745
1317b28a58661
14a9c9a8a56d
155b4c30441b
hex33826555e5

221231011301 has 2 divisors, whose sum is σ = 221231011302. Its totient is φ = 221231011300.

The previous prime is 221231011297. The next prime is 221231011319. The reversal of 221231011301 is 103110132122.

221231011301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219655318276 + 1575693025 = 468674^2 + 39695^2 .

It is a cyclic number.

It is not a de Polignac number, because 221231011301 - 22 = 221231011297 is a prime.

It is a super-2 number, since 2×2212310113012 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221231011301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221231011321) 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, 110615505650 + 110615505651.

It is an arithmetic number, because the mean of its divisors is an integer number (110615505651).

Almost surely, 2221231011301 is an apocalyptic number.

It is an amenable number.

221231011301 is a deficient number, since it is larger than the sum of its proper divisors (1).

221231011301 is an equidigital number, since it uses as much as digits as its factorization.

221231011301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 221231011301 its reverse (103110132122), we get a palindrome (324341143423).

The spelling of 221231011301 in words is "two hundred twenty-one billion, two hundred thirty-one million, eleven thousand, three hundred one".