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21220314329 is a prime number
BaseRepresentation
bin10011110000110101…
…000100110011011001
32000202212202122210202
4103300311010303121
5321424400024304
613425400551545
71350600460424
oct236065046331
960685678722
1021220314329
118aaa350265
1241427825b5
132002462616
1410543c29bb
15842e6a81e
hex4f0d44cd9

21220314329 has 2 divisors, whose sum is σ = 21220314330. Its totient is φ = 21220314328.

The previous prime is 21220314289. The next prime is 21220314337. The reversal of 21220314329 is 92341302212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20359009225 + 861305104 = 142685^2 + 29348^2 .

It is a cyclic number.

It is not a de Polignac number, because 21220314329 - 212 = 21220310233 is a prime.

It is not a weakly prime, because it can be changed into another prime (21220314359) 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, 10610157164 + 10610157165.

It is an arithmetic number, because the mean of its divisors is an integer number (10610157165).

Almost surely, 221220314329 is an apocalyptic number.

It is an amenable number.

21220314329 is a deficient number, since it is larger than the sum of its proper divisors (1).

21220314329 is an equidigital number, since it uses as much as digits as its factorization.

21220314329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 21220314329 in words is "twenty-one billion, two hundred twenty million, three hundred fourteen thousand, three hundred twenty-nine".