| Base | Representation |
|---|---|
| bin | 101110100111100010… |
| … | …1100010100011000100 |
| 3 | 100120101220200210221020 |
| 4 | 1131033011202203010 |
| 5 | 3120011420200400 |
| 6 | 113553532151140 |
| 7 | 10142563211334 |
| oct | 1351705424304 |
| 9 | 316356623836 |
| 10 | 100111100100 |
| 11 | 39503119270 |
| 12 | 1749b0084b0 |
| 13 | 959583b74b |
| 14 | 4bb9b010c4 |
| 15 | 290dd832a0 |
| hex | 174f1628c4 |
100111100100 has 288 divisors, whose sum is σ = 328418979840. Its totient is φ = 23322432000.
The previous prime is 100111100099. The next prime is 100111100119. The reversal of 100111100100 is 1001111001.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 21338755 + ... + 21343445.
It is an arithmetic number, because the mean of its divisors is an integer number (1140343680).
Almost surely, 2100111100100 is an apocalyptic number.
100111100100 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 100111100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164209489920).
100111100100 is an abundant number, since it is smaller than the sum of its proper divisors (228307879740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100111100100 is a wasteful number, since it uses less digits than its factorization.
100111100100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4971 (or 4964 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 6.
Adding to 100111100100 its reverse (1001111001), we get a palindrome (101112211101).
100111100100 divided by its reverse (1001111001) gives a square (100 = 102).
It can be divided in two parts, 10011 and 1100100, that added together give a palindrome (1110111).
The spelling of 100111100100 in words is "one hundred billion, one hundred eleven million, one hundred thousand, one hundred".
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