Search a number
-
+
100334123021 = 1116399156467
BaseRepresentation
bin101110101110001100…
…0010011100000001101
3100120222110100112212102
41131130120103200031
53120441013414041
6114032020244445
710151241655046
oct1353430234015
9316873315772
10100334123021
1139607aa6730
1217541840725
1395ccac7082
144bdb5978cd
15292373909b
hex175c61380d

100334123021 has 16 divisors (see below), whose sum is σ = 110239991808. Its totient is φ = 90560170800.

The previous prime is 100334123011. The next prime is 100334123077. The reversal of 100334123021 is 120321433001.

It is not a de Polignac number, because 100334123021 - 218 = 100333860877 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100334122984 and 100334123002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100334123011) 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, 1748630 + ... + 1805096.

It is an arithmetic number, because the mean of its divisors is an integer number (6889999488).

Almost surely, 2100334123021 is an apocalyptic number.

100334123021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100334123021 is a deficient number, since it is larger than the sum of its proper divisors (9905868787).

100334123021 is a wasteful number, since it uses less digits than its factorization.

100334123021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57632.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100334123021 its reverse (120321433001), we get a palindrome (220655556022).

The spelling of 100334123021 in words is "one hundred billion, three hundred thirty-four million, one hundred twenty-three thousand, twenty-one".

Divisors: 1 11 163 991 1793 10901 56467 161533 621137 1776863 9204121 55958797 101245331 615546767 9121283911 100334123021