| Base | Representation |
|---|---|
| bin | 101110100100111000… |
| … | …1101001100111100100 |
| 3 | 100120011201001001201020 |
| 4 | 1131021301221213210 |
| 5 | 3114321113000400 |
| 6 | 113541030331140 |
| 7 | 10140431654511 |
| oct | 1351161514744 |
| 9 | 316151031636 |
| 10 | 100022000100 |
| 11 | 394678a2100 |
| 12 | 174751b9ab0 |
| 13 | 9580243359 |
| 14 | 4babd4a308 |
| 15 | 29061332a0 |
| hex | 1749c699e4 |
100022000100 has 216 divisors, whose sum is σ = 326699131584. Its totient is φ = 23592096000.
The previous prime is 100022000087. The next prime is 100022000101. The reversal of 100022000100 is 1000220001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (100022000101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1305865 + ... + 1380335.
Almost surely, 2100022000100 is an apocalyptic number.
100022000100 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 100022000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163349565792).
100022000100 is an abundant number, since it is smaller than the sum of its proper divisors (226677131484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100022000100 is a wasteful number, since it uses less digits than its factorization.
100022000100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74547 (or 74529 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
Adding to 100022000100 its reverse (1000220001), we get a palindrome (101022220101).
100022000100 divided by its reverse (1000220001) gives a square (100 = 102).
It can be divided in two parts, 10002 and 2000100, that added together give a palindrome (2010102).
The spelling of 100022000100 in words is "one hundred billion, twenty-two million, one hundred", and thus it is an aban number.
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