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30821138041 is a prime number
BaseRepresentation
bin11100101101000101…
…010011111001111001
32221112222102001000011
4130231011103321321
51001110202404131
622054203541521
72140530231211
oct345505237171
987488361004
1030821138041
1112086802211
125b81b2a8a1
132ba25393b5
1416c5517241
15c05c790b1
hex72d153e79

30821138041 has 2 divisors, whose sum is σ = 30821138042. Its totient is φ = 30821138040.

The previous prime is 30821138011. The next prime is 30821138069. The reversal of 30821138041 is 14083112803.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30632350441 + 188787600 = 175021^2 + 13740^2 .

It is a cyclic number.

It is not a de Polignac number, because 30821138041 - 25 = 30821138009 is a prime.

It is the 175560-th Hogben number.

It is a junction number, because it is equal to n+sod(n) for n = 30821137994 and 30821138012.

It is not a weakly prime, because it can be changed into another prime (30821138011) by changing a digit.

It is a nontrivial repunit in base 175559.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15410569020 + 15410569021.

It is an arithmetic number, because the mean of its divisors is an integer number (15410569021).

Almost surely, 230821138041 is an apocalyptic number.

30821138041 is the 93841-st centered heptagonal number.

It is an amenable number.

30821138041 is a deficient number, since it is larger than the sum of its proper divisors (1).

30821138041 is an equidigital number, since it uses as much as digits as its factorization.

30821138041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 30821138041 in words is "thirty billion, eight hundred twenty-one million, one hundred thirty-eight thousand, forty-one".