Search a number
-
+
100321310003 = 4310363135897
BaseRepresentation
bin101110101101110011…
…1011011010100110011
3100120221120020120201012
41131123213123110303
53120424223410003
6114030441501135
710151025031235
oct1353347332463
9316846216635
10100321310003
1139600845062
12175394a17ab
1395ca25bcc5
144bd99c0255
1529225578d8
hex175b9db533

100321310003 has 16 divisors (see below), whose sum is σ = 103818164736. Its totient is φ = 96880432320.

The previous prime is 100321309999. The next prime is 100321310029. The reversal of 100321310003 is 300013123001.

It is a cyclic number.

It is not a de Polignac number, because 100321310003 - 22 = 100321309999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100321310003.

It is not an unprimeable number, because it can be changed into a prime (100321310203) 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 15 ways as a sum of consecutive naturals, for example, 2776751 + ... + 2812647.

It is an arithmetic number, because the mean of its divisors is an integer number (6488635296).

Almost surely, 2100321310003 is an apocalyptic number.

100321310003 is a deficient number, since it is larger than the sum of its proper divisors (3496854733).

100321310003 is a wasteful number, since it uses less digits than its factorization.

100321310003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36674.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 100321310003 its reverse (300013123001), we get a palindrome (400334433004).

The spelling of 100321310003 in words is "one hundred billion, three hundred twenty-one million, three hundred ten thousand, three".

Divisors: 1 43 103 631 4429 27133 35897 64993 1543571 2794699 3697391 22651007 158987813 973993301 2333053721 100321310003