| Base | Representation |
|---|---|
| bin | 101111000101011000… |
| … | …0000101101110110000 |
| 3 | 100122222200021101100222 |
| 4 | 1132022300011232300 |
| 5 | 3124034200010000 |
| 6 | 114241131232212 |
| 7 | 10206436516466 |
| oct | 1361260055660 |
| 9 | 318880241328 |
| 10 | 101112110000 |
| 11 | 39977171880 |
| 12 | 1771a2a8668 |
| 13 | 96c50404b5 |
| 14 | 4c72a32836 |
| 15 | 296bbb3a85 |
| hex | 178ac05bb0 |
101112110000 has 400 divisors, whose sum is σ = 284488934400. Its totient is φ = 34416000000.
The previous prime is 101112109963. The next prime is 101112110027. The reversal of 101112110000 is 11211101.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (400).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 101112110000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 211089761 + ... + 211090239.
It is an arithmetic number, because the mean of its divisors is an integer number (711222336).
Almost surely, 2101112110000 is an apocalyptic number.
101112110000 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 101112110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142244467200).
101112110000 is an abundant number, since it is smaller than the sum of its proper divisors (183376824400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101112110000 is a wasteful number, since it uses less digits than its factorization.
101112110000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 638 (or 617 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 8.
Adding to 101112110000 its reverse (11211101), we get a palindrome (101123321101).
It can be divided in two parts, 101112 and 110000, that added together give a palindrome (211112).
The spelling of 101112110000 in words is "one hundred one billion, one hundred twelve million, one hundred ten thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.071 sec. • engine limits •