Base | Representation |
---|---|
bin | 10110101111010101100100… |
… | …100001111101101001011100 |
3 | 111010002212021212021212100101 |
4 | 112233111210201331221130 |
5 | 101102030440012042340 |
6 | 552411543151510444 |
7 | 30031325014532332 |
oct | 2657254441755134 |
9 | 433085255255311 |
10 | 100010000112220 |
11 | 29959003898530 |
12 | b272736828424 |
13 | 43a5b96b72503 |
14 | 1a9a71cda3b52 |
15 | b867526a0c9a |
hex | 5af56487da5c |
100010000112220 has 192 divisors, whose sum is σ = 235790226008064. Its totient is φ = 35316000000000.
The previous prime is 100010000112133. The next prime is 100010000112223. The reversal of 100010000112220 is 22211000010001.
It is a super-3 number, since 3×1000100001122203 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 100010000112197 and 100010000112206.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100010000112223) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2666843470 + ... + 2666880970.
It is an arithmetic number, because the mean of its divisors is an integer number (1228074093792).
Almost surely, 2100010000112220 is an apocalyptic number.
100010000112220 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 100010000112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117895113004032).
100010000112220 is an abundant number, since it is smaller than the sum of its proper divisors (135780225895844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100010000112220 is a wasteful number, since it uses less digits than its factorization.
100010000112220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38924 (or 38922 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 100010000112220 its reverse (22211000010001), we get a palindrome (122221000122221).
The spelling of 100010000112220 in words is "one hundred trillion, ten billion, one hundred twelve thousand, two hundred twenty".
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