Search a number
-
+
10221434420399 is a prime number
BaseRepresentation
bin1001010010111101110011…
…1101111011110010101111
31100012011022100011022102222
42110233130331323302233
52314431444202423044
633423355005105555
72103321450020006
oct224573475736257
940164270138388
1010221434420399
113290982292544
121190b958582bb
13591b53092a97
14274a11c07c3d
1512ad3a0268ee
hex94bdcf7bcaf

10221434420399 has 2 divisors, whose sum is σ = 10221434420400. Its totient is φ = 10221434420398.

The previous prime is 10221434420377. The next prime is 10221434420401. The reversal of 10221434420399 is 99302443412201.

It is a strong prime.

It is an emirp because it is prime and its reverse (99302443412201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10221434420399 - 240 = 9121922792623 is a prime.

It is a super-2 number, since 2×102214344203992 (a number of 27 digits) contains 22 as substring.

Together with 10221434420401, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221434420359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110717210199 + 5110717210200.

It is an arithmetic number, because the mean of its divisors is an integer number (5110717210200).

Almost surely, 210221434420399 is an apocalyptic number.

10221434420399 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221434420399 is an equidigital number, since it uses as much as digits as its factorization.

10221434420399 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 10221434420399 in words is "ten trillion, two hundred twenty-one billion, four hundred thirty-four million, four hundred twenty thousand, three hundred ninety-nine".