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2101122223 is a prime number
BaseRepresentation
bin111110100111100…
…1001010010101111
312102102122001211121
41331033021102233
513300341402343
6544254201411
7103032146524
oct17517112257
95372561747
102101122223
11989035252
124a77b3267
132763c18b5
1415d09d14b
15c46d9aed
hex7d3c94af

2101122223 has 2 divisors, whose sum is σ = 2101122224. Its totient is φ = 2101122222.

The previous prime is 2101122217. The next prime is 2101122229. The reversal of 2101122223 is 3222211012.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2101122217) and next prime (2101122229).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2101122223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101122197 and 2101122206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101122229) 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, 1050561111 + 1050561112.

It is an arithmetic number, because the mean of its divisors is an integer number (1050561112).

Almost surely, 22101122223 is an apocalyptic number.

2101122223 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101122223 is an equidigital number, since it uses as much as digits as its factorization.

2101122223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2101122223 is about 45837.9997709324. Note that the first 3 decimals coincide. The cubic root of 2101122223 is about 1280.8072347458.

Adding to 2101122223 its reverse (3222211012), we get a palindrome (5323333235).

It can be divided in two parts, 21011 and 22223, that added together give a palindrome (43234).

The spelling of 2101122223 in words is "two billion, one hundred one million, one hundred twenty-two thousand, two hundred twenty-three".