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103628137 is a prime number
BaseRepresentation
bin1100010110100…
…11110101101001
321012222212002011
412023103311221
5203012100022
614141035521
72365552564
oct613236551
9235885064
10103628137
115354a398
122a855ba1
1318614032
14da974db
15916e977
hex62d3d69

103628137 has 2 divisors, whose sum is σ = 103628138. Its totient is φ = 103628136.

The previous prime is 103628123. The next prime is 103628167. The reversal of 103628137 is 731826301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82246761 + 21381376 = 9069^2 + 4624^2 .

It is an emirp because it is prime and its reverse (731826301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103628137 - 219 = 103103849 is a prime.

It is a super-3 number, since 3×1036281373 (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 103628099 and 103628108.

It is not a weakly prime, because it can be changed into another prime (103628117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51814068 + 51814069.

It is an arithmetic number, because the mean of its divisors is an integer number (51814069).

Almost surely, 2103628137 is an apocalyptic number.

It is an amenable number.

103628137 is a deficient number, since it is larger than the sum of its proper divisors (1).

103628137 is an equidigital number, since it uses as much as digits as its factorization.

103628137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 103628137 is about 10179.7906167072. The cubic root of 103628137 is about 469.7057717843.

The spelling of 103628137 in words is "one hundred three million, six hundred twenty-eight thousand, one hundred thirty-seven".