| Base | Representation |
|---|---|
| bin | 101110101010110110… |
| … | …1000000100100111100 |
| 3 | 100120200122120200220110 |
| 4 | 1131111231000210330 |
| 5 | 3120223330010022 |
| 6 | 114012535350020 |
| 7 | 10145411610363 |
| oct | 1352555004474 |
| 9 | 316618520813 |
| 10 | 100222110012 |
| 11 | 3955a84a6a2 |
| 12 | 17510222310 |
| 13 | 95b283869b |
| 14 | 4bca75a7da |
| 15 | 29189b000c |
| hex | 1755b4093c |
100222110012 has 288 divisors, whose sum is σ = 275638648320. Its totient is φ = 28229160960.
The previous prime is 100222110007. The next prime is 100222110017. The reversal of 100222110012 is 210011222001.
It is an interprime number because it is at equal distance from previous prime (100222110007) and next prime (100222110017).
It is a super-3 number, since 3×1002221100123 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 100222110012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100222110017) 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, 85586187 + ... + 85587357.
It is an arithmetic number, because the mean of its divisors is an integer number (957078640).
Almost surely, 2100222110012 is an apocalyptic number.
100222110012 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 100222110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137819324160).
100222110012 is an abundant number, since it is smaller than the sum of its proper divisors (175416538308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100222110012 is a wasteful number, since it uses less digits than its factorization.
100222110012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1301 (or 1282 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 100222110012 its reverse (210011222001), we get a palindrome (310233332013).
The spelling of 100222110012 in words is "one hundred billion, two hundred twenty-two million, one hundred ten thousand, twelve".
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