Base | Representation |
---|---|
bin | 101110101000001001… |
… | …0010011011100011000 |
3 | 100120110022120011210200 |
4 | 1131100102103130120 |
5 | 3120032043121240 |
6 | 113555531342200 |
7 | 10143226232532 |
oct | 1352022233430 |
9 | 316408504720 |
10 | 100131223320 |
11 | 39513513127 |
12 | 174a58b1960 |
13 | 9599a65c8b |
14 | 4bbc65c852 |
15 | 2910a0a930 |
hex | 1750493718 |
100131223320 has 384 divisors, whose sum is σ = 356929597440. Its totient is φ = 24244899840.
The previous prime is 100131223279. The next prime is 100131223321. The reversal of 100131223320 is 23322131001.
100131223320 is a `hidden beast` number, since 10 + 0 + 1 + 312 + 23 + 320 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 100131223293 and 100131223302.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100131223321) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20419989 + ... + 20424891.
It is an arithmetic number, because the mean of its divisors is an integer number (929504160).
Almost surely, 2100131223320 is an apocalyptic number.
100131223320 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 100131223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178464798720).
100131223320 is an abundant number, since it is smaller than the sum of its proper divisors (256798374120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100131223320 is a wasteful number, since it uses less digits than its factorization.
100131223320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5055 (or 5048 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 100131223320 its reverse (23322131001), we get a palindrome (123453354321).
The spelling of 100131223320 in words is "one hundred billion, one hundred thirty-one million, two hundred twenty-three thousand, three hundred twenty".
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