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831122021 is a prime number
BaseRepresentation
bin110001100010011…
…110101001100101
32010220220101002002
4301202132221211
53200231401041
6214245455045
726411264162
oct6142365145
92126811062
10831122021
11397168304
121b2411485
1310325b7a2
147c54b069
154ce7359b
hex3189ea65

831122021 has 2 divisors, whose sum is σ = 831122022. Its totient is φ = 831122020.

The previous prime is 831121979. The next prime is 831122051. The reversal of 831122021 is 120221138.

831122021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 664350625 + 166771396 = 25775^2 + 12914^2 .

It is a cyclic number.

It is not a de Polignac number, because 831122021 - 218 = 830859877 is a prime.

It is a super-2 number, since 2×8311220212 = 1381527627582248882, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 831121984 and 831122002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (831122051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415561010 + 415561011.

It is an arithmetic number, because the mean of its divisors is an integer number (415561011).

Almost surely, 2831122021 is an apocalyptic number.

It is an amenable number.

831122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

831122021 is an equidigital number, since it uses as much as digits as its factorization.

831122021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 831122021 is about 28829.1869639086. The cubic root of 831122021 is about 940.2029217111.

Adding to 831122021 its reverse (120221138), we get a palindrome (951343159).

The spelling of 831122021 in words is "eight hundred thirty-one million, one hundred twenty-two thousand, twenty-one".