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221121131321 is a prime number
BaseRepresentation
bin1100110111101111011…
…0001011001100111001
3210010202022102022210102
43031323312023030321
512110324002200241
6245325345125145
721655405414226
oct3157366131471
9703668368712
10221121131321
1185860128832
1236a310297b5
1317b0c065b0c
14a9b924694d
155b4284c39b
hex337bd8b339

221121131321 has 2 divisors, whose sum is σ = 221121131322. Its totient is φ = 221121131320.

The previous prime is 221121131279. The next prime is 221121131333. The reversal of 221121131321 is 123131121122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153146212921 + 67974918400 = 391339^2 + 260720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221121131321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221121131293 and 221121131302.

It is not a weakly prime, because it can be changed into another prime (221121631321) 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, 110560565660 + 110560565661.

It is an arithmetic number, because the mean of its divisors is an integer number (110560565661).

Almost surely, 2221121131321 is an apocalyptic number.

It is an amenable number.

221121131321 is a deficient number, since it is larger than the sum of its proper divisors (1).

221121131321 is an equidigital number, since it uses as much as digits as its factorization.

221121131321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 20.

Adding to 221121131321 its reverse (123131121122), we get a palindrome (344252252443).

The spelling of 221121131321 in words is "two hundred twenty-one billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred twenty-one".