| Base | Representation |
|---|---|
| bin | 10110101111100000110110… |
| … | …011010001000110111111000 |
| 3 | 111010011000112220110102120110 |
| 4 | 112233200312122020313320 |
| 5 | 101102230240432223000 |
| 6 | 552421305030424320 |
| 7 | 30032234105265246 |
| oct | 2657406632106770 |
| 9 | 433130486412513 |
| 10 | 100022111211000 |
| 11 | 29963159231280 |
| 12 | b274b568020a0 |
| 13 | 43a7077035554 |
| 14 | 1a9b14b661796 |
| 15 | b86c10a69850 |
| hex | 5af836688df8 |
100022111211000 has 1024 divisors, whose sum is σ = 357060197744640. Its totient is φ = 23096586240000.
The previous prime is 100022111210941. The next prime is 100022111211013. The reversal of 100022111211000 is 112111220001.
It is a super-2 number, since 2×1000221112110002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12211216905 + ... + 12211225095.
It is an arithmetic number, because the mean of its divisors is an integer number (348691599360).
Almost surely, 2100022111211000 is an apocalyptic number.
100022111211000 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 100022111211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178530098872320).
100022111211000 is an abundant number, since it is smaller than the sum of its proper divisors (257038086533640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100022111211000 is a wasteful number, since it uses less digits than its factorization.
100022111211000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8473 (or 8459 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 12.
Adding to 100022111211000 its reverse (112111220001), we get a palindrome (100134222431001).
Subtracting from 100022111211000 its reverse (112111220001), we obtain a palindrome (99909999990999).
It can be divided in two parts, 1000221 and 11211000, that added together give a palindrome (12211221).
The spelling of 100022111211000 in words is "one hundred trillion, twenty-two billion, one hundred eleven million, two hundred eleven thousand".
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