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1003136317 is a prime number
BaseRepresentation
bin111011110010101…
…010010100111101
32120220120121022221
4323302222110331
54023300330232
6243312405341
733600342451
oct7362522475
92526517287
101003136317
11475276187
1223bb46851
1312ca978b1
1497326661
155d100897
hex3bcaa53d

1003136317 has 2 divisors, whose sum is σ = 1003136318. Its totient is φ = 1003136316.

The previous prime is 1003136291. The next prime is 1003136333. The reversal of 1003136317 is 7136313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 614494521 + 388641796 = 24789^2 + 19714^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1003136317 is a prime.

It is a super-4 number, since 4×10031363174 (a number of 37 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003136291 and 1003136300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003136117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501568158 + 501568159.

It is an arithmetic number, because the mean of its divisors is an integer number (501568159).

Almost surely, 21003136317 is an apocalyptic number.

It is an amenable number.

1003136317 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003136317 is an equidigital number, since it uses as much as digits as its factorization.

1003136317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 1003136317 is about 31672.3273063411. The cubic root of 1003136317 is about 1001.0443479577.

Adding to 1003136317 its reverse (7136313001), we get a palindrome (8139449318).

The spelling of 1003136317 in words is "one billion, three million, one hundred thirty-six thousand, three hundred seventeen".