Base | Representation |
---|---|
bin | 10110110010001000100101… |
… | …110110101111010000100100 |
3 | 111010210020110010220201010200 |
4 | 112302020211312233100210 |
5 | 101113203122330401040 |
6 | 553040133152350500 |
7 | 30051241321623144 |
oct | 2662104566572044 |
9 | 433706403821120 |
10 | 100202222122020 |
11 | 29a22584137557 |
12 | b2a3a41545430 |
13 | 43bb04b940a05 |
14 | 1aa5b5608c924 |
15 | b8b752d80630 |
hex | 5b2225daf424 |
100202222122020 has 288 divisors, whose sum is σ = 317292354008448. Its totient is φ = 25572247658496.
The previous prime is 100202222121977. The next prime is 100202222122027. The reversal of 100202222122020 is 20221222202001.
100202222122020 is a `hidden beast` number, since 1 + 0 + 0 + 202 + 2 + 221 + 220 + 20 = 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 = 100202222121984 and 100202222122002.
It is not an unprimeable number, because it can be changed into a prime (100202222122027) 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, 300139227 + ... + 300472893.
Almost surely, 2100202222122020 is an apocalyptic number.
100202222122020 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 100202222122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158646177004224).
100202222122020 is an abundant number, since it is smaller than the sum of its proper divisors (217090131886428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100202222122020 is a wasteful number, since it uses less digits than its factorization.
100202222122020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 334459 (or 334454 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 100202222122020 its reverse (20221222202001), we get a palindrome (120423444324021).
It can be divided in two parts, 100202 and 222122020, that added together give a palindrome (222222222).
The spelling of 100202222122020 in words is "one hundred trillion, two hundred two billion, two hundred twenty-two million, one hundred twenty-two thousand, twenty".
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