Base | Representation |
---|---|
bin | 11110010100001101010111… |
… | …001101111010000010001100 |
3 | 122111002020101012211021110000 |
4 | 132110031113031322002030 |
5 | 114433440103024024400 |
6 | 1151323003442044300 |
7 | 40040532663352533 |
oct | 3624152715720214 |
9 | 574066335737400 |
10 | 133330133033100 |
11 | 39534aa0207a43 |
12 | 12b54333949690 |
13 | 5951c92a16c93 |
14 | 24cd2da19131a |
15 | 1063351b02600 |
hex | 79435737a08c |
133330133033100 has 180 divisors, whose sum is σ = 432366231173800. Its totient is φ = 35541324944640.
The previous prime is 133330133033087. The next prime is 133330133033131. The reversal of 133330133033100 is 1330331033331.
133330133033100 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 30 + 13 + 303 + 310 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (180).
It is a super-2 number, since 2×1333301330331002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
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 59 ways as a sum of consecutive naturals, for example, 18442656 + ... + 24633144.
Almost surely, 2133330133033100 is an apocalyptic number.
133330133033100 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 133330133033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216183115586900).
133330133033100 is an abundant number, since it is smaller than the sum of its proper divisors (299036098140700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133330133033100 is a wasteful number, since it uses less digits than its factorization.
133330133033100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6193174 (or 6193158 counting only the distinct ones).
The product of its (nonzero) digits is 6561, while the sum is 27.
Adding to 133330133033100 its reverse (1330331033331), we get a palindrome (134660464066431).
The spelling of 133330133033100 in words is "one hundred thirty-three trillion, three hundred thirty billion, one hundred thirty-three million, thirty-three thousand, one hundred".
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