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10613821 is a prime number
BaseRepresentation
bin101000011111…
…010000111101
3201222020102111
4220133100331
510204120241
61015254021
7156134041
oct50372075
921866374
1010613821
115a9a359
12367a311
13227808a
1415a4021
15de9c81
hexa1f43d

10613821 has 2 divisors, whose sum is σ = 10613822. Its totient is φ = 10613820.

The previous prime is 10613807. The next prime is 10613851. The reversal of 10613821 is 12831601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8820900 + 1792921 = 2970^2 + 1339^2 .

It is a cyclic number.

It is not a de Polignac number, because 10613821 - 27 = 10613693 is a prime.

It is a super-2 number, since 2×106138212 = 225306392440082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10613792 and 10613801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10613851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5306910 + 5306911.

It is an arithmetic number, because the mean of its divisors is an integer number (5306911).

Almost surely, 210613821 is an apocalyptic number.

It is an amenable number.

10613821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10613821 is an equidigital number, since it uses as much as digits as its factorization.

10613821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10613821 is about 3257.8859709941. The cubic root of 10613821 is about 219.7643551258.

The spelling of 10613821 in words is "ten million, six hundred thirteen thousand, eight hundred twenty-one".