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1003001117 is a prime number
BaseRepresentation
bin111011110010001…
…001010100011101
32120220022201212112
4323302021110131
54023232013432
6243305443405
733566240336
oct7362112435
92526281775
101003001117
11475193648
1223baa0565
1312ca4b1b1
14972cd28d
155d0c57b2
hex3bc8951d

1003001117 has 2 divisors, whose sum is σ = 1003001118. Its totient is φ = 1003001116.

The previous prime is 1003001113. The next prime is 1003001141. The reversal of 1003001117 is 7111003001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 994203961 + 8797156 = 31531^2 + 2966^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003001117 - 22 = 1003001113 is a prime.

It is a super-2 number, since 2×10030011172 = 2012022481406495378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003001113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501500558 + 501500559.

It is an arithmetic number, because the mean of its divisors is an integer number (501500559).

Almost surely, 21003001117 is an apocalyptic number.

It is an amenable number.

1003001117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003001117 is an equidigital number, since it uses as much as digits as its factorization.

1003001117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 14.

The square root of 1003001117 is about 31670.1928791095. The cubic root of 1003001117 is about 1000.9993732537. Note that the first 3 decimals are identical.

Adding to 1003001117 its reverse (7111003001), we get a palindrome (8114004118).

The spelling of 1003001117 in words is "one billion, three million, one thousand, one hundred seventeen".