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30821138009 is a prime number
BaseRepresentation
bin11100101101000101…
…010011111001011001
32221112222102000221222
4130231011103321121
51001110202404014
622054203541425
72140530231134
oct345505237131
987488360858
1030821138009
1112086802192
125b81b2a875
132ba253938c
1416c551721b
15c05c7908e
hex72d153e59

30821138009 has 2 divisors, whose sum is σ = 30821138010. Its totient is φ = 30821138008.

The previous prime is 30821138003. The next prime is 30821138011. The reversal of 30821138009 is 90083112803.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22913482384 + 7907655625 = 151372^2 + 88925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30821138009 is a prime.

Together with 30821138011, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30821138009.

It is not a weakly prime, because it can be changed into another prime (30821138003) 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, 15410569004 + 15410569005.

It is an arithmetic number, because the mean of its divisors is an integer number (15410569005).

Almost surely, 230821138009 is an apocalyptic number.

It is an amenable number.

30821138009 is a deficient number, since it is larger than the sum of its proper divisors (1).

30821138009 is an equidigital number, since it uses as much as digits as its factorization.

30821138009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 30821138009 in words is "thirty billion, eight hundred twenty-one million, one hundred thirty-eight thousand, nine".