Search a number
-
+
103007627 is a prime number
BaseRepresentation
bin1100010001111…
…00010110001011
321011211022220022
412020330112023
5202332221002
614115451055
72360356532
oct610742613
9234738808
10103007627
1153166178
122a5b6a8b
1318457778
14d975319
15909aba2
hex623c58b

103007627 has 2 divisors, whose sum is σ = 103007628. Its totient is φ = 103007626.

The previous prime is 103007579. The next prime is 103007629. The reversal of 103007627 is 726700301.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 103007627 - 26 = 103007563 is a prime.

It is a super-2 number, since 2×1030076272 = 21221142440342258, which contains 22 as substring.

Together with 103007629, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 103007596 and 103007605.

It is not a weakly prime, because it can be changed into another prime (103007629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51503813 + 51503814.

It is an arithmetic number, because the mean of its divisors is an integer number (51503814).

Almost surely, 2103007627 is an apocalyptic number.

103007627 is a deficient number, since it is larger than the sum of its proper divisors (1).

103007627 is an equidigital number, since it uses as much as digits as its factorization.

103007627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 103007627 is about 10149.2673134567. The cubic root of 103007627 is about 468.7663846836.

Adding to 103007627 its reverse (726700301), we get a palindrome (829707928).

The spelling of 103007627 in words is "one hundred three million, seven thousand, six hundred twenty-seven".