Base | Representation |
---|---|
bin | 101110101000001001… |
… | …0010011011011110000 |
3 | 100120110022120011202012 |
4 | 1131100102103123300 |
5 | 3120032043121110 |
6 | 113555531342052 |
7 | 10143226232444 |
oct | 1352022233360 |
9 | 316408504665 |
10 | 100131223280 |
11 | 395135130a0 |
12 | 174a58b1928 |
13 | 9599a65c5a |
14 | 4bbc65c824 |
15 | 2910a0a905 |
hex | 17504936f0 |
100131223280 has 80 divisors (see below), whose sum is σ = 254304625248. Its totient is φ = 36363264000.
The previous prime is 100131223279. The next prime is 100131223321. The reversal of 100131223280 is 82322131001.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 594920 + ... + 744440.
Almost surely, 2100131223280 is an apocalyptic number.
100131223280 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 100131223280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127152312624).
100131223280 is an abundant number, since it is smaller than the sum of its proper divisors (154173401968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100131223280 is a wasteful number, since it uses less digits than its factorization.
100131223280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 150306 (or 150300 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 23.
Adding to 100131223280 its reverse (82322131001), we get a palindrome (182453354281).
The spelling of 100131223280 in words is "one hundred billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred eighty".
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