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13002212021 is a prime number
BaseRepresentation
bin11000001101111111…
…00000001010110101
31020120010221210210012
430012333200022311
5203112031241041
65550110310005
7640130656451
oct140677401265
936503853705
1013002212021
115572456377
12262a4b8305
1312c29977a6
148b4b83661
1551173c3eb
hex306fe02b5

13002212021 has 2 divisors, whose sum is σ = 13002212022. Its totient is φ = 13002212020.

The previous prime is 13002211997. The next prime is 13002212029. The reversal of 13002212021 is 12021220031.

It is a happy number.

13002212021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10638891025 + 2363320996 = 103145^2 + 48614^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13002212021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13002211987 and 13002212005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13002212029) 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, 6501106010 + 6501106011.

It is an arithmetic number, because the mean of its divisors is an integer number (6501106011).

Almost surely, 213002212021 is an apocalyptic number.

It is an amenable number.

13002212021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13002212021 is an equidigital number, since it uses as much as digits as its factorization.

13002212021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13002212021 its reverse (12021220031), we get a palindrome (25023432052).

The spelling of 13002212021 in words is "thirteen billion, two million, two hundred twelve thousand, twenty-one".