Base | Representation |
---|---|
bin | 110000111100100110… |
… | …0011010011000000000 |
3 | 101001022110201212021000 |
4 | 1201321030122120000 |
5 | 3210232300341000 |
6 | 120142113532000 |
7 | 10410533416206 |
oct | 1417114323000 |
9 | 331273655230 |
10 | 105112512000 |
11 | 4063a300031 |
12 | 18455b74000 |
13 | 9bb1a72b82 |
14 | 513204d076 |
15 | 2b02eb8000 |
hex | 187931a600 |
105112512000 has 640 divisors, whose sum is σ = 395267558400. Its totient is φ = 27528192000.
The previous prime is 105112511993. The next prime is 105112512007. The reversal of 105112512000 is 215211501.
105112512000 is a `hidden beast` number, since 10 + 511 + 25 + 120 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (105112511993) and next prime (105112512007).
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×1051125120002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105112512007) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101951485 + ... + 101952515.
It is an arithmetic number, because the mean of its divisors is an integer number (617605560).
Almost surely, 2105112512000 is an apocalyptic number.
105112512000 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 105112512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197633779200).
105112512000 is an abundant number, since it is smaller than the sum of its proper divisors (290155046400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105112512000 is an equidigital number, since it uses as much as digits as its factorization.
105112512000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1132 (or 1100 counting only the distinct ones).
The product of its (nonzero) digits is 100, while the sum is 18.
Adding to 105112512000 its reverse (215211501), we get a palindrome (105327723501).
The spelling of 105112512000 in words is "one hundred five billion, one hundred twelve million, five hundred twelve thousand".
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