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1005132217 is a prime number
BaseRepresentation
bin111011111010010…
…001100110111001
32121001100000012011
4323322101212321
54024303212332
6243423245521
733623324425
oct7372214671
92531300164
101005132217
11476409791
122407498a1
131303161bb
14976c5b85
155d396e47
hex3be919b9

1005132217 has 2 divisors, whose sum is σ = 1005132218. Its totient is φ = 1005132216.

The previous prime is 1005132203. The next prime is 1005132239. The reversal of 1005132217 is 7122315001.

It is a happy number.

It is an a-pointer prime, because the next prime (1005132239) can be obtained adding 1005132217 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 943964176 + 61168041 = 30724^2 + 7821^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005132217 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005132517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502566108 + 502566109.

It is an arithmetic number, because the mean of its divisors is an integer number (502566109).

Almost surely, 21005132217 is an apocalyptic number.

It is an amenable number.

1005132217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005132217 is an equidigital number, since it uses as much as digits as its factorization.

1005132217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 1005132217 is about 31703.8202272218. The cubic root of 1005132217 is about 1001.7078206881.

Adding to 1005132217 its reverse (7122315001), we get a palindrome (8127447218).

The spelling of 1005132217 in words is "one billion, five million, one hundred thirty-two thousand, two hundred seventeen".