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100424130003 = 32293147125889
BaseRepresentation
bin101110110000110111…
…1101001110111010011
3100121012201201101020100
41131201233221313103
53121132034130003
6114044553343443
710153414010061
oct1354157516723
9317181641210
10100424130003
113965389226a
1217567a07b83
13961564c242
144c09507031
15292b5b7ba3
hex1761be9dd3

100424130003 has 24 divisors (see below), whose sum is σ = 145656725760. Its totient is φ = 66672990720.

The previous prime is 100424129951. The next prime is 100424130031. The reversal of 100424130003 is 300031424001.

It is a de Polignac number, because none of the positive numbers 2k-100424130003 is a prime.

It is a super-3 number, since 3×1004241300033 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (100424130043) 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 23 ways as a sum of consecutive naturals, for example, 3866083 + ... + 3891971.

It is an arithmetic number, because the mean of its divisors is an integer number (6069030240).

Almost surely, 2100424130003 is an apocalyptic number.

100424130003 is a deficient number, since it is larger than the sum of its proper divisors (45232595757).

100424130003 is a wasteful number, since it uses less digits than its factorization.

100424130003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27659 (or 27656 counting only the distinct ones).

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

Adding to 100424130003 its reverse (300031424001), we get a palindrome (400455554004).

The spelling of 100424130003 in words is "one hundred billion, four hundred twenty-four million, one hundred thirty thousand, three".

Divisors: 1 3 9 293 879 1471 2637 4413 13239 25889 77667 233001 431003 1293009 3879027 7585477 22756431 38082719 68269293 114248157 342744471 11158236667 33474710001 100424130003