Search a number
-
+
103418993 is a prime number
BaseRepresentation
bin1100010101000…
…00110001110001
321012121020012002
412022200301301
5202433401433
614132343345
72364022046
oct612406161
9235536162
10103418993
1153417247
122a774b55
131856ca92
14da411cd
15912c9e8
hex62a0c71

103418993 has 2 divisors, whose sum is σ = 103418994. Its totient is φ = 103418992.

The previous prime is 103418981. The next prime is 103419047. The reversal of 103418993 is 399814301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101263969 + 2155024 = 10063^2 + 1468^2 .

It is a cyclic number.

It is not a de Polignac number, because 103418993 - 212 = 103414897 is a prime.

It is a super-2 number, since 2×1034189932 = 21390976226268098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103418923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51709496 + 51709497.

It is an arithmetic number, because the mean of its divisors is an integer number (51709497).

Almost surely, 2103418993 is an apocalyptic number.

It is an amenable number.

103418993 is a deficient number, since it is larger than the sum of its proper divisors (1).

103418993 is an equidigital number, since it uses as much as digits as its factorization.

103418993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 103418993 is about 10169.5129185227. The cubic root of 103418993 is about 469.3895696785.

The spelling of 103418993 in words is "one hundred three million, four hundred eighteen thousand, nine hundred ninety-three".