Search a number
-
+
102903617 is a prime number
BaseRepresentation
bin1100010001000…
…10111101000001
321011122001020002
412020202331001
5202320403432
614113325345
72356444355
oct610427501
9234561202
10102903617
11530a5013
122a566855
131841c31b
14d949465
159079e62
hex6222f41

102903617 has 2 divisors, whose sum is σ = 102903618. Its totient is φ = 102903616.

The previous prime is 102903607. The next prime is 102903641. The reversal of 102903617 is 716309201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99820081 + 3083536 = 9991^2 + 1756^2 .

It is an emirp because it is prime and its reverse (716309201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102903617 - 26 = 102903553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102903617.

It is not a weakly prime, because it can be changed into another prime (102903607) 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, 51451808 + 51451809.

It is an arithmetic number, because the mean of its divisors is an integer number (51451809).

Almost surely, 2102903617 is an apocalyptic number.

It is an amenable number.

102903617 is a deficient number, since it is larger than the sum of its proper divisors (1).

102903617 is an equidigital number, since it uses as much as digits as its factorization.

102903617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 102903617 is about 10144.1420041322. The cubic root of 102903617 is about 468.6085555578.

The spelling of 102903617 in words is "one hundred two million, nine hundred three thousand, six hundred seventeen".