Search a number
-
+
10004142303 = 331721795517
BaseRepresentation
bin10010101000100101…
…10001100011011111
3221211012120002022000
421110102301203133
5130442030023203
64332411253343
7502624543431
oct112422614337
927735502260
1010004142303
114274094201
121b3244a253
13c3580aa3c
146ac920651
153d842a4a3
hex2544b18df

10004142303 has 16 divisors (see below), whose sum is σ = 15692772960. Its totient is φ = 6277108608.

The previous prime is 10004142301. The next prime is 10004142349. The reversal of 10004142303 is 30324140001.

10004142303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10004142303 - 21 = 10004142301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004142301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10897300 + ... + 10898217.

It is an arithmetic number, because the mean of its divisors is an integer number (980798310).

Almost surely, 210004142303 is an apocalyptic number.

10004142303 is a deficient number, since it is larger than the sum of its proper divisors (5688630657).

10004142303 is a wasteful number, since it uses less digits than its factorization.

10004142303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21795543 (or 21795537 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10004142303 its reverse (30324140001), we get a palindrome (40328282304).

The spelling of 10004142303 in words is "ten billion, four million, one hundred forty-two thousand, three hundred three".

Divisors: 1 3 9 17 27 51 153 459 21795517 65386551 196159653 370523789 588478959 1111571367 3334714101 10004142303