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12821017933 is a prime number
BaseRepresentation
bin10111111000011000…
…10011010101001101
31020002112000012020001
423330030103111031
5202224140033213
65520114524301
7632500566013
oct137414232515
936075005201
1012821017933
11548a148599
122599896691
131294296259
14898a988b3
1550089a1dd
hex2fc31354d

12821017933 has 2 divisors, whose sum is σ = 12821017934. Its totient is φ = 12821017932.

The previous prime is 12821017931. The next prime is 12821017939. The reversal of 12821017933 is 33971012821.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10841390884 + 1979627049 = 104122^2 + 44493^2 .

It is a cyclic number.

It is not a de Polignac number, because 12821017933 - 21 = 12821017931 is a prime.

Together with 12821017931, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12821017892 and 12821017901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12821017931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6410508966 + 6410508967.

It is an arithmetic number, because the mean of its divisors is an integer number (6410508967).

Almost surely, 212821017933 is an apocalyptic number.

It is an amenable number.

12821017933 is a deficient number, since it is larger than the sum of its proper divisors (1).

12821017933 is an equidigital number, since it uses as much as digits as its factorization.

12821017933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 12821017933 in words is "twelve billion, eight hundred twenty-one million, seventeen thousand, nine hundred thirty-three".