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13202001821 is a prime number
BaseRepresentation
bin11000100101110011…
…01000111110011101
31021002001220011212102
430102321220332131
5204014203024241
610022004414445
7645105110141
oct142271507635
937061804772
1013202001821
115665205408
1226853a7425
1313251aa1c8
148d350d221
1552405439b
hex312e68f9d

13202001821 has 2 divisors, whose sum is σ = 13202001822. Its totient is φ = 13202001820.

The previous prime is 13202001803. The next prime is 13202001823. The reversal of 13202001821 is 12810020231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10678948921 + 2523052900 = 103339^2 + 50230^2 .

It is a cyclic number.

It is not a de Polignac number, because 13202001821 - 222 = 13197807517 is a prime.

Together with 13202001823, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13202001793 and 13202001802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13202001823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6601000910 + 6601000911.

It is an arithmetic number, because the mean of its divisors is an integer number (6601000911).

Almost surely, 213202001821 is an apocalyptic number.

It is an amenable number.

13202001821 is a deficient number, since it is larger than the sum of its proper divisors (1).

13202001821 is an equidigital number, since it uses as much as digits as its factorization.

13202001821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

The spelling of 13202001821 in words is "thirteen billion, two hundred two million, one thousand, eight hundred twenty-one".