Base | Representation |
---|---|
bin | 101110101110000110… |
… | …1010001110001000000 |
3 | 100120222020220200120102 |
4 | 1131130031101301000 |
5 | 3120434243413240 |
6 | 114031434301532 |
7 | 10151205255254 |
oct | 1353415216100 |
9 | 316866820512 |
10 | 100331232320 |
11 | 39606401920 |
12 | 175408878a8 |
13 | 95cc3243b7 |
14 | 4bdb044264 |
15 | 2923367815 |
hex | 175c351c40 |
100331232320 has 112 divisors (see below), whose sum is σ = 261803985408. Its totient is φ = 36320194560.
The previous prime is 100331232319. The next prime is 100331232329. The reversal of 100331232320 is 23232133001.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 100331232292 and 100331232301.
It is not an unprimeable number, because it can be changed into a prime (100331232329) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721052 + ... + 848868.
It is an arithmetic number, because the mean of its divisors is an integer number (2337535584).
Almost surely, 2100331232320 is an apocalyptic number.
100331232320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100331232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130901992704).
100331232320 is an abundant number, since it is smaller than the sum of its proper divisors (161472753088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100331232320 is a wasteful number, since it uses less digits than its factorization.
100331232320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 128068 (or 128058 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 20.
Adding to 100331232320 its reverse (23232133001), we get a palindrome (123563365321).
The spelling of 100331232320 in words is "one hundred billion, three hundred thirty-one million, two hundred thirty-two thousand, three hundred twenty".
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