Base | Representation |
---|---|
bin | 10111000010001000001100… |
… | …001000111001010111111000 |
3 | 111021200022100221011210021200 |
4 | 113002020030020321113320 |
5 | 101234210031342132300 |
6 | 555241101551134200 |
7 | 30223530464203230 |
oct | 2702101410712770 |
9 | 437608327153250 |
10 | 101301302302200 |
11 | 2a306706259280 |
12 | b440a55214360 |
13 | 446a896ca31b0 |
14 | 1b0301b31acc0 |
15 | baa12cbdc200 |
hex | 5c220c2395f8 |
101301302302200 has 1152 divisors, whose sum is σ = 461909835878400. Its totient is φ = 19212069888000.
The previous prime is 101301302302159. The next prime is 101301302302201. The reversal of 101301302302200 is 2203203103101.
101301302302200 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 130 + 2 + 302 + 200 = 666.
It is a super-2 number, since 2×1013013023022002 (a number of 29 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 (101301302302201) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 160044345 + ... + 160676055.
It is an arithmetic number, because the mean of its divisors is an integer number (400963399200).
Almost surely, 2101301302302200 is an apocalyptic number.
101301302302200 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 101301302302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230954917939200).
101301302302200 is an abundant number, since it is smaller than the sum of its proper divisors (360608533576200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101301302302200 is a wasteful number, since it uses less digits than its factorization.
101301302302200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 631853 (or 631841 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 101301302302200 its reverse (2203203103101), we get a palindrome (103504505405301).
The spelling of 101301302302200 in words is "one hundred one trillion, three hundred one billion, three hundred two million, three hundred two thousand, two hundred".
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