Search a number
-
+
100413132303 = 31123612168797
BaseRepresentation
bin101110110000100010…
…1101100111000001111
3100121011222000122020010
41131201011230320033
53121121230213203
6114043521524303
710153221353601
oct1354105547017
9317158018203
10100413132303
1139648660560
12175641a3693
13961329b523
144c07c83171
15292a644303
hex176116ce0f

100413132303 has 32 divisors (see below), whose sum is σ = 154904228352. Its totient is φ = 57256214400.

The previous prime is 100413132293. The next prime is 100413132341. The reversal of 100413132303 is 303231314001.

It is not a de Polignac number, because 100413132303 - 25 = 100413132271 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100413132303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413132343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1038100 + ... + 1130697.

It is an arithmetic number, because the mean of its divisors is an integer number (4840757136).

Almost surely, 2100413132303 is an apocalyptic number.

100413132303 is a deficient number, since it is larger than the sum of its proper divisors (54491096049).

100413132303 is a wasteful number, since it uses less digits than its factorization.

100413132303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168895.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100413132303 its reverse (303231314001), we get a palindrome (403644446304).

The spelling of 100413132303 in words is "one hundred billion, four hundred thirteen million, one hundred thirty-two thousand, three hundred three".

Divisors: 1 3 11 23 33 61 69 183 253 671 759 1403 2013 4209 15433 46299 2168797 6506391 23856767 49882331 71570301 132296617 149646993 396889851 548705641 1455262787 1646116923 3042822191 4365788361 9128466573 33471044101 100413132303