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21221130313 is a prime number
BaseRepresentation
bin10011110000111000…
…001100000001001001
32000202221022010010101
4103300320030001021
5321430102132223
613425430245401
71350610426405
oct236070140111
960687263111
1021221130313
118aaa858329
124142ab6861
132002689b56
141054556105
1584307c4ad
hex4f0e0c049

21221130313 has 2 divisors, whose sum is σ = 21221130314. Its totient is φ = 21221130312.

The previous prime is 21221130253. The next prime is 21221130377. The reversal of 21221130313 is 31303112212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20521422009 + 699708304 = 143253^2 + 26452^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21221130313 is a prime.

It is a super-2 number, since 2×212211303132 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21221130013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10610565156 + 10610565157.

It is an arithmetic number, because the mean of its divisors is an integer number (10610565157).

Almost surely, 221221130313 is an apocalyptic number.

It is an amenable number.

21221130313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21221130313 is an equidigital number, since it uses as much as digits as its factorization.

21221130313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 21221130313 its reverse (31303112212), we get a palindrome (52524242525).

The spelling of 21221130313 in words is "twenty-one billion, two hundred twenty-one million, one hundred thirty thousand, three hundred thirteen".