| Base | Representation |
|---|---|
| bin | 101110101010011111… |
| … | …0110110101101111000 |
| 3 | 100120122210211000011220 |
| 4 | 1131110332312231320 |
| 5 | 3120212230323000 |
| 6 | 114011424152040 |
| 7 | 10145204016321 |
| oct | 1352476665570 |
| 9 | 316583730156 |
| 10 | 100210011000 |
| 11 | 39553a36510 |
| 12 | 17508168620 |
| 13 | 95b01905c8 |
| 14 | 4bc8ccb448 |
| 15 | 29178c01a0 |
| hex | 1754fb6b78 |
100210011000 has 512 divisors, whose sum is σ = 367475097600. Its totient is φ = 22482240000.
The previous prime is 100210010983. The next prime is 100210011001. The reversal of 100210011000 is 110012001.
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 a self number, because there is not a number n which added to its sum of digits gives 100210011000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100210011001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23526871 + ... + 23531129.
It is an arithmetic number, because the mean of its divisors is an integer number (717724800).
Almost surely, 2100210011000 is an apocalyptic number.
100210011000 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 100210011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183737548800).
100210011000 is an abundant number, since it is smaller than the sum of its proper divisors (267265086600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100210011000 is a wasteful number, since it uses less digits than its factorization.
100210011000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4348 (or 4334 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
Adding to 100210011000 its reverse (110012001), we get a palindrome (100320023001).
It can be divided in two parts, 10021001 and 1000, that added together give a palindrome (10022001).
The spelling of 100210011000 in words is "one hundred billion, two hundred ten million, eleven thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •