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1003112221 is a prime number
BaseRepresentation
bin111011110010100…
…100011100011101
32120220112101021111
4323302210130131
54023244042341
6243312102021
733600212266
oct7362443435
92526471244
101003112221
1147525a071
1223bb34911
1312ca89937
149731b96d
155d0e8681
hex3bca471d

1003112221 has 2 divisors, whose sum is σ = 1003112222. Its totient is φ = 1003112220.

The previous prime is 1003112189. The next prime is 1003112237. The reversal of 1003112221 is 1222113001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 999444996 + 3667225 = 31614^2 + 1915^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003112221 - 25 = 1003112189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003112261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501556110 + 501556111.

It is an arithmetic number, because the mean of its divisors is an integer number (501556111).

Almost surely, 21003112221 is an apocalyptic number.

It is an amenable number.

1003112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003112221 is an equidigital number, since it uses as much as digits as its factorization.

1003112221 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 1003112221 is about 31671.9469088972. The cubic root of 1003112221 is about 1001.0363326436.

Adding to 1003112221 its reverse (1222113001), we get a palindrome (2225225222).

The spelling of 1003112221 in words is "one billion, three million, one hundred twelve thousand, two hundred twenty-one".