| Base | Representation |
|---|---|
| bin | 10110110011101100111101… |
| … | …111110101001111100101000 |
| 3 | 111011011112122102221200011110 |
| 4 | 112303230331332221330220 |
| 5 | 101121434340231024000 |
| 6 | 553201440040430320 |
| 7 | 30062105223351333 |
| oct | 2663547576517450 |
| 9 | 434145572850143 |
| 10 | 100310001033000 |
| 11 | 29a64261563600 |
| 12 | b3009004783a0 |
| 13 | 43c8266c34255 |
| 14 | 1aab05c2a561a |
| 15 | b8e45ee92850 |
| hex | 5b3b3dfa9f28 |
100310001033000 has 384 divisors, whose sum is σ = 353302760079360. Its totient is φ = 23660341056000.
The previous prime is 100310001032981. The next prime is 100310001033019. The reversal of 100310001033000 is 330100013001.
It is an interprime number because it is at equal distance from previous prime (100310001032981) and next prime (100310001033019).
It is a super-2 number, since 2×1003100010330002 (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 an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9696729 + ... + 17165271.
It is an arithmetic number, because the mean of its divisors is an integer number (920059271040).
Almost surely, 2100310001033000 is an apocalyptic number.
100310001033000 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 100310001033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176651380039680).
100310001033000 is an abundant number, since it is smaller than the sum of its proper divisors (252992759046360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100310001033000 is a wasteful number, since it uses less digits than its factorization.
100310001033000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7468626 (or 7468601 counting only the distinct ones).
The product of its (nonzero) digits is 27, while the sum is 12.
Adding to 100310001033000 its reverse (330100013001), we get a palindrome (100640101046001).
The spelling of 100310001033000 in words is "one hundred trillion, three hundred ten billion, one million, thirty-three thousand".
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