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2100221113 is a prime number
BaseRepresentation
bin111110100101110…
…1101010010111001
312102100221021202011
41331023231102321
513300124033423
6544223005521
7103021404424
oct17513552271
95370837664
102100221113
1198857a231
124a74398a1
132761676b3
1415cd069bb
15c45acb0d
hex7d2ed4b9

2100221113 has 2 divisors, whose sum is σ = 2100221114. Its totient is φ = 2100221112.

The previous prime is 2100221087. The next prime is 2100221119. The reversal of 2100221113 is 3111220012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2065975209 + 34245904 = 45453^2 + 5852^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2100221113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100221093 and 2100221102.

It is not a weakly prime, because it can be changed into another prime (2100221119) 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, 1050110556 + 1050110557.

It is an arithmetic number, because the mean of its divisors is an integer number (1050110557).

Almost surely, 22100221113 is an apocalyptic number.

It is an amenable number.

2100221113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100221113 is an equidigital number, since it uses as much as digits as its factorization.

2100221113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2100221113 is about 45828.1694266747. The cubic root of 2100221113 is about 1280.6241082833.

Adding to 2100221113 its reverse (3111220012), we get a palindrome (5211441125).

The spelling of 2100221113 in words is "two billion, one hundred million, two hundred twenty-one thousand, one hundred thirteen".