Search a number
-
+
1005055103 = 13194069049
BaseRepresentation
bin111011111001111…
…110110001111111
32121001012002102002
4323321332301333
54024243230403
6243421452515
733622553543
oct7371766177
92531162362
101005055103
11476366858
1224071113b
131302ba080
14976a5a23
155d37e188
hex3be7ec7f

1005055103 has 8 divisors (see below), whose sum is σ = 1139334000. Its totient is φ = 878914368.

The previous prime is 1005055069. The next prime is 1005055133. The reversal of 1005055103 is 3015505001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005055103 - 210 = 1005054079 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005055133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2034278 + ... + 2034771.

It is an arithmetic number, because the mean of its divisors is an integer number (142416750).

Almost surely, 21005055103 is an apocalyptic number.

1005055103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1005055103 is a deficient number, since it is larger than the sum of its proper divisors (134278897).

1005055103 is a wasteful number, since it uses less digits than its factorization.

1005055103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069081.

The product of its (nonzero) digits is 375, while the sum is 20.

The square root of 1005055103 is about 31702.6040413087. The cubic root of 1005055103 is about 1001.6822029398.

The spelling of 1005055103 in words is "one billion, five million, fifty-five thousand, one hundred three".

Divisors: 1 13 19 247 4069049 52897637 77311931 1005055103