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13221002301029 is a prime number
BaseRepresentation
bin1100000001100100000100…
…1001010100111001100101
31201210220201101022122112222
43000121001021110321211
53213103103042113104
644041351122522125
72533120522225625
oct300310111247145
951726641278488
1013221002301029
114237aa5145576
12159639ab06345
1374b973216843
14339c85578885
1517dd968601be
hexc0641254e65

13221002301029 has 2 divisors, whose sum is σ = 13221002301030. Its totient is φ = 13221002301028.

The previous prime is 13221002300941. The next prime is 13221002301041. The reversal of 13221002301029 is 92010320012231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13220968684225 + 33616804 = 3636065^2 + 5798^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13221002301029 is a prime.

It is a super-2 number, since 2×132210023010292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13221002300989 and 13221002301007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13221002381029) 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, 6610501150514 + 6610501150515.

It is an arithmetic number, because the mean of its divisors is an integer number (6610501150515).

Almost surely, 213221002301029 is an apocalyptic number.

It is an amenable number.

13221002301029 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221002301029 is an equidigital number, since it uses as much as digits as its factorization.

13221002301029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 13221002301029 in words is "thirteen trillion, two hundred twenty-one billion, two million, three hundred one thousand, twenty-nine".