| Base | Representation |
|---|---|
| bin | 101110101010110110… |
| … | …1010110100100111000 |
| 3 | 100120200122202021111210 |
| 4 | 1131111231112210320 |
| 5 | 3120223340400440 |
| 6 | 114012541323120 |
| 7 | 10145412434160 |
| oct | 1352555264470 |
| 9 | 316618667453 |
| 10 | 100222200120 |
| 11 | 3955a901369 |
| 12 | 175102664a0 |
| 13 | 95b286a6c3 |
| 14 | 4bca7815a0 |
| 15 | 29189cba80 |
| hex | 1755b56938 |
100222200120 has 256 divisors, whose sum is σ = 352759587840. Its totient is φ = 22302056448.
The previous prime is 100222200109. The next prime is 100222200131. The reversal of 100222200120 is 21002222001.
100222200120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (100222200109) and next prime (100222200131).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 100222200096 and 100222200105.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11445664 + ... + 11454416.
It is an arithmetic number, because the mean of its divisors is an integer number (1377967140).
Almost surely, 2100222200120 is an apocalyptic number.
100222200120 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 100222200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176379793920).
100222200120 is an abundant number, since it is smaller than the sum of its proper divisors (252537387720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100222200120 is a wasteful number, since it uses less digits than its factorization.
100222200120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9134 (or 9130 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 100222200120 its reverse (21002222001), we get a palindrome (121224422121).
The spelling of 100222200120 in words is "one hundred billion, two hundred twenty-two million, two hundred thousand, one hundred twenty".
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