Base | Representation |
---|---|
bin | 110000000001001110… |
… | …0110000111101100000 |
3 | 100212011122001112000220 |
4 | 1200002130300331200 |
5 | 3142142244410422 |
6 | 115212310043040 |
7 | 10310263113351 |
oct | 1400234607540 |
9 | 325148045026 |
10 | 103120310112 |
11 | 3a8077aa296 |
12 | 17b9a949480 |
13 | 99550c90a1 |
14 | 4dc3623d28 |
15 | 2a38145e5c |
hex | 1802730f60 |
103120310112 has 96 divisors (see below), whose sum is σ = 285100445952. Its totient is φ = 32571585024.
The previous prime is 103120310101. The next prime is 103120310123. The reversal of 103120310112 is 211013021301.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (103120310101) and next prime (103120310123).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×1031203101123 (a number of 34 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 103120310091 and 103120310100.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18018 + ... + 454494.
It is an arithmetic number, because the mean of its divisors is an integer number (2969796312).
Almost surely, 2103120310112 is an apocalyptic number.
103120310112 is a gapful number since it is divisible by the number (12) 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 103120310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142550222976).
103120310112 is an abundant number, since it is smaller than the sum of its proper divisors (181980135840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103120310112 is a wasteful number, since it uses less digits than its factorization.
103120310112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 436620 (or 436612 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 15.
Adding to 103120310112 its reverse (211013021301), we get a palindrome (314133331413).
The spelling of 103120310112 in words is "one hundred three billion, one hundred twenty million, three hundred ten thousand, one hundred twelve".
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