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1003331221 is a prime number
BaseRepresentation
bin111011110011011…
…001111010010101
32120220221111200121
4323303121322111
54023323044341
6243320511541
733602113624
oct7363317225
92526844617
101003331221
11475399662
1224001b5b1
1312cb35519
14973776bb
155d13d4d1
hex3bcd9e95

1003331221 has 2 divisors, whose sum is σ = 1003331222. Its totient is φ = 1003331220.

The previous prime is 1003331209. The next prime is 1003331243. The reversal of 1003331221 is 1221333001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 921790321 + 81540900 = 30361^2 + 9030^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003331221 - 29 = 1003330709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003331195 and 1003331204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003331201) 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, 501665610 + 501665611.

It is an arithmetic number, because the mean of its divisors is an integer number (501665611).

Almost surely, 21003331221 is an apocalyptic number.

It is an amenable number.

1003331221 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003331221 is an equidigital number, since it uses as much as digits as its factorization.

1003331221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1003331221 is about 31675.4040384649. The cubic root of 1003331221 is about 1001.1091762731.

Adding to 1003331221 its reverse (1221333001), we get a palindrome (2224664222).

The spelling of 1003331221 in words is "one billion, three million, three hundred thirty-one thousand, two hundred twenty-one".