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30820821949 is a prime number
BaseRepresentation
bin11100101101000100…
…000110101110111101
32221112221210222102001
4130231010012232331
51001110112300244
622054153102301
72140524443521
oct345504065675
987487728361
1030820821949
1112086606785
125b819b7991
132ba2458568
1416c5473d81
15c05c155d4
hex72d106bbd

30820821949 has 2 divisors, whose sum is σ = 30820821950. Its totient is φ = 30820821948.

The previous prime is 30820821947. The next prime is 30820821989. The reversal of 30820821949 is 94912802803.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17828925625 + 12991896324 = 133525^2 + 113982^2 .

It is a cyclic number.

It is not a de Polignac number, because 30820821949 - 21 = 30820821947 is a prime.

It is a super-2 number, since 2×308208219492 (a number of 22 digits) contains 22 as substring.

Together with 30820821947, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 30820821899 and 30820821908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30820821947) 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, 15410410974 + 15410410975.

It is an arithmetic number, because the mean of its divisors is an integer number (15410410975).

Almost surely, 230820821949 is an apocalyptic number.

It is an amenable number.

30820821949 is a deficient number, since it is larger than the sum of its proper divisors (1).

30820821949 is an equidigital number, since it uses as much as digits as its factorization.

30820821949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 30820821949 in words is "thirty billion, eight hundred twenty million, eight hundred twenty-one thousand, nine hundred forty-nine".