Base | Representation |
---|---|
bin | 10110110000110010111010… |
… | …001110100101110010000000 |
3 | 111010110102222111200110220200 |
4 | 112300302322032211302000 |
5 | 101110201213330401422 |
6 | 552530000125205200 |
7 | 30041503425545106 |
oct | 2660627216456200 |
9 | 433412874613820 |
10 | 100110222122112 |
11 | 29997563579984 |
12 | b28a046a00800 |
13 | 43b2479674447 |
14 | 1aa15096d5c76 |
15 | b8916b1412ac |
hex | 5b0cba3a5c80 |
100110222122112 has 192 divisors, whose sum is σ = 295906392038400. Its totient is φ = 32463470241792.
The previous prime is 100110222122107. The next prime is 100110222122143. The reversal of 100110222122112 is 211221222011001.
100110222122112 is a `hidden beast` number, since 100 + 110 + 2 + 221 + 221 + 12 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299863503 + ... + 300197169.
It is an arithmetic number, because the mean of its divisors is an integer number (1541179125200).
Almost surely, 2100110222122112 is an apocalyptic number.
100110222122112 is a gapful number since it is divisible by the number (12) 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 100110222122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147953196019200).
100110222122112 is an abundant number, since it is smaller than the sum of its proper divisors (195796169916288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100110222122112 is a wasteful number, since it uses less digits than its factorization.
100110222122112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 340763 (or 340748 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 100110222122112 its reverse (211221222011001), we get a palindrome (311331444133113).
It can be divided in two parts, 100110 and 222122112, that added together give a palindrome (222222222).
The spelling of 100110222122112 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".
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