Base | Representation |
---|---|
bin | 101101101110101101011101… |
… | …111101100110111011100000 |
3 | 222101010002001200101201201211 |
4 | 231232231131331212323200 |
5 | 202330140334030013440 |
6 | 1551430101553435504 |
7 | 60235404620053525 |
oct | 5556553575467340 |
9 | 871102050351654 |
10 | 201122010001120 |
11 | 590a1402450a0a |
12 | 1a68296226bb94 |
13 | 882b954cab350 |
14 | 379450031314c |
15 | 183b9a1e96eea |
hex | b6eb5df66ee0 |
201122010001120 has 192 divisors, whose sum is σ = 535665583724544. Its totient is φ = 70803316869120.
The previous prime is 201122010001111. The next prime is 201122010001127. The reversal of 201122010001120 is 21100010221102.
It is a super-2 number, since 2×2011220100011202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a self number, because there is not a number n which added to its sum of digits gives 201122010001120.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (201122010001127) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8119309 + ... + 21637171.
It is an arithmetic number, because the mean of its divisors is an integer number (2789924915232).
Almost surely, 2201122010001120 is an apocalyptic number.
201122010001120 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 201122010001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267832791862272).
201122010001120 is an abundant number, since it is smaller than the sum of its proper divisors (334543573723424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201122010001120 is a wasteful number, since it uses less digits than its factorization.
201122010001120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13518225 (or 13518217 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 13.
Adding to 201122010001120 its reverse (21100010221102), we get a palindrome (222222020222222).
The spelling of 201122010001120 in words is "two hundred one trillion, one hundred twenty-two billion, ten million, one thousand, one hundred twenty".
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