Base | Representation |
---|---|
bin | 10111011011000000011111… |
… | …010001100001000111000110 |
3 | 111111201202110010020201012200 |
4 | 113123000133101201013012 |
5 | 102000213032200004110 |
6 | 1003030335345455330 |
7 | 30461205053414004 |
oct | 2733003721410706 |
9 | 444652403221180 |
10 | 103011020313030 |
11 | 2a905801525175 |
12 | b678286341546 |
13 | 4562b88b6321b |
14 | 1b61a8d585a74 |
15 | bd98467666c0 |
hex | 5db01f4611c6 |
103011020313030 has 192 divisors, whose sum is σ = 288651312488448. Its totient is φ = 25413347773440.
The previous prime is 103011020313001. The next prime is 103011020313031. The reversal of 103011020313030 is 30313020110301.
It is a happy number.
103011020313030 is a `hidden beast` number, since 1 + 0 + 301 + 1 + 0 + 20 + 313 + 0 + 30 = 666.
It is a super-3 number, since 3×1030110203130303 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 103011020312994 and 103011020313012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103011020313031) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113578407 + ... + 114481773.
It is an arithmetic number, because the mean of its divisors is an integer number (1503392252544).
Almost surely, 2103011020313030 is an apocalyptic number.
103011020313030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 103011020313030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144325656244224).
103011020313030 is an abundant number, since it is smaller than the sum of its proper divisors (185640292175418).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103011020313030 is a wasteful number, since it uses less digits than its factorization.
103011020313030 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 905211 (or 905208 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 103011020313030 its reverse (30313020110301), we get a palindrome (133324040423331).
The spelling of 103011020313030 in words is "one hundred three trillion, eleven billion, twenty million, three hundred thirteen thousand, thirty".
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