Search a number
-
+
10003010103 = 3217397164683
BaseRepresentation
bin10010101000011100…
…11101001000110111
3221211010102120012200
421110032131020313
5130441232310403
64332331115543
7502612116522
oct112416351067
927733376180
1010003010103
1142734905a9
121b31ba2bb3
13c355025b8
146ac707bb9
153d82a4ca3
hex25439d237

10003010103 has 24 divisors (see below), whose sum is σ = 15337350288. Its totient is φ = 6260550912.

The previous prime is 10003010089. The next prime is 10003010113. The reversal of 10003010103 is 30101030001.

10003010103 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10003010103 - 25 = 10003010071 is a prime.

It is a super-2 number, since 2×100030101032 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003010113) 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 23 ways as a sum of consecutive naturals, for example, 21601 + ... + 143082.

It is an arithmetic number, because the mean of its divisors is an integer number (639056262).

Almost surely, 210003010103 is an apocalyptic number.

10003010103 is a deficient number, since it is larger than the sum of its proper divisors (5334340185).

10003010103 is a wasteful number, since it uses less digits than its factorization.

10003010103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165103 (or 165100 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10003010103 its reverse (30101030001), we get a palindrome (40104040104).

It can be divided in two parts, 1000 and 3010103, that added together give a palindrome (3011103).

The spelling of 10003010103 in words is "ten billion, three million, ten thousand, one hundred three".

Divisors: 1 3 9 17 51 153 397 1191 3573 6749 20247 60741 164683 494049 1482147 2799611 8398833 25196499 65379151 196137453 588412359 1111445567 3334336701 10003010103