Base | Representation |
---|---|
bin | 101110100111110110… |
… | …0000111010100110100 |
3 | 100120102121201120010220 |
4 | 1131033230013110310 |
5 | 3120022012242322 |
6 | 113554533014340 |
7 | 10143045155610 |
oct | 1351754072464 |
9 | 316377646126 |
10 | 100121212212 |
11 | 395088a568a |
12 | 174a24843b0 |
13 | 959796c348 |
14 | 4bbb1b4340 |
15 | 290ebce55c |
hex | 174fb07534 |
100121212212 has 96 divisors (see below), whose sum is σ = 275852408832. Its totient is φ = 27669430656.
The previous prime is 100121212211. The next prime is 100121212223. The reversal of 100121212212 is 212212121001.
It is a junction number, because it is equal to n+sod(n) for n = 100121212191 and 100121212200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100121212211) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237478 + ... + 506594.
It is an arithmetic number, because the mean of its divisors is an integer number (2873462592).
Almost surely, 2100121212212 is an apocalyptic number.
100121212212 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 100121212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137926204416).
100121212212 is an abundant number, since it is smaller than the sum of its proper divisors (175731196620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100121212212 is a wasteful number, since it uses less digits than its factorization.
100121212212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 269277 (or 269275 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 100121212212 its reverse (212212121001), we get a palindrome (312333333213).
The spelling of 100121212212 in words is "one hundred billion, one hundred twenty-one million, two hundred twelve thousand, two hundred twelve".
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