Base | Representation |
---|---|
bin | 1011101100110010001… |
… | …0001100110110010000 |
3 | 201012211000222121201100 |
4 | 2323030202030312100 |
5 | 11243122000410300 |
6 | 232201011504400 |
7 | 20343652631250 |
oct | 2731442146620 |
9 | 635730877640 |
10 | 201000013200 |
11 | 782752a3998 |
12 | 32b565b8100 |
13 | 15c5356236c |
14 | 9a2ac33960 |
15 | 5366159700 |
hex | 2ecc88cd90 |
201000013200 has 360 divisors, whose sum is σ = 799032291200. Its totient is φ = 45835683840.
The previous prime is 201000013189. The next prime is 201000013211. The reversal of 201000013200 is 2310000102.
It is a happy number.
201000013200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (201000013189) and next prime (201000013211).
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11053716 + ... + 11071884.
Almost surely, 2201000013200 is an apocalyptic number.
201000013200 is a gapful number since it is divisible by the number (20) 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 201000013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399516145600).
201000013200 is an abundant number, since it is smaller than the sum of its proper divisors (598032278000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201000013200 is a wasteful number, since it uses less digits than its factorization.
201000013200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18639 (or 18625 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 201000013200 its reverse (2310000102), we get a palindrome (203310013302).
The spelling of 201000013200 in words is "two hundred one billion, thirteen thousand, two hundred".
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