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103006031 is a prime number
BaseRepresentation
bin1100010001110…
…11111101001111
321011211020201012
412020323331033
5202332143111
614115435435
72360352062
oct610737517
9234736635
10103006031
1153164a57
122a5b5b7b
1318456b1b
14d9748d9
15909a48b
hex623bf4f

103006031 has 2 divisors, whose sum is σ = 103006032. Its totient is φ = 103006030.

The previous prime is 103005997. The next prime is 103006037. The reversal of 103006031 is 130600301.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103006031 is a prime.

It is a super-2 number, since 2×1030060312 = 21220484844745922, which contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 103005997 and 103006015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103006037) 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, 51503015 + 51503016.

It is an arithmetic number, because the mean of its divisors is an integer number (51503016).

Almost surely, 2103006031 is an apocalyptic number.

103006031 is a deficient number, since it is larger than the sum of its proper divisors (1).

103006031 is an equidigital number, since it uses as much as digits as its factorization.

103006031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 103006031 is about 10149.1886867867. The cubic root of 103006031 is about 468.7639636492.

Adding to 103006031 its reverse (130600301), we get a palindrome (233606332).

The spelling of 103006031 in words is "one hundred three million, six thousand, thirty-one".