Base | Representation |
---|---|
bin | 10110111111001101101111… |
… | …111000010110000110010100 |
3 | 111020222011122100020000220120 |
4 | 112333031233320112012110 |
5 | 101222420034212101400 |
6 | 555005113151031540 |
7 | 30203212544455644 |
oct | 2677155770260624 |
9 | 436864570200816 |
10 | 101101112222100 |
11 | 2a239817170091 |
12 | b40a0a5b0b5b0 |
13 | 4454a42490cb3 |
14 | 1ad7469cba524 |
15 | ba4d12c1cca0 |
hex | 5bf36fe16194 |
101101112222100 has 144 divisors (see below), whose sum is σ = 294048950162688. Its totient is φ = 26819320872960.
The previous prime is 101101112222059. The next prime is 101101112222101. The reversal of 101101112222100 is 1222211101101.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 101101112222100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101101112222101) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2309435412 + ... + 2309479188.
It is an arithmetic number, because the mean of its divisors is an integer number (2042006598352).
Almost surely, 2101101112222100 is an apocalyptic number.
101101112222100 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 101101112222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147024475081344).
101101112222100 is an abundant number, since it is smaller than the sum of its proper divisors (192947837940588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101101112222100 is a wasteful number, since it uses less digits than its factorization.
101101112222100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83874 (or 83867 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 15.
Adding to 101101112222100 its reverse (1222211101101), we get a palindrome (102323323323201).
The spelling of 101101112222100 in words is "one hundred one trillion, one hundred one billion, one hundred twelve million, two hundred twenty-two thousand, one hundred".
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