Base | Representation |
---|---|
bin | 101101101100111101101100… |
… | …110111101011110001000100 |
3 | 222100200121022001022221020010 |
4 | 231230331230313223301010 |
5 | 202321204044230201040 |
6 | 1551255013340510220 |
7 | 60223625651423142 |
oct | 5554755467536104 |
9 | 870617261287203 |
10 | 201002001022020 |
11 | 59055519513750 |
12 | 1a66364b54b370 |
13 | 882053ac9c003 |
14 | 378c797b10592 |
15 | 18387cb31ae80 |
hex | b6cf6cdebc44 |
201002001022020 has 192 divisors, whose sum is σ = 640733152905216. Its totient is φ = 46604134917120.
The previous prime is 201002001021989. The next prime is 201002001022027. The reversal of 201002001022020 is 20220100200102.
It is a super-2 number, since 2×2010020010220202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 201002001021987 and 201002001022005.
It is not an unprimeable number, because it can be changed into a prime (201002001022027) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141026587 + ... + 142444733.
It is an arithmetic number, because the mean of its divisors is an integer number (3337151838048).
Almost surely, 2201002001022020 is an apocalyptic number.
201002001022020 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 201002001022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320366576452608).
201002001022020 is an abundant number, since it is smaller than the sum of its proper divisors (439731151883196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201002001022020 is a wasteful number, since it uses less digits than its factorization.
201002001022020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1427530 (or 1427528 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 201002001022020 its reverse (20220100200102), we get a palindrome (221222101222122).
The spelling of 201002001022020 in words is "two hundred one trillion, two billion, one million, twenty-two thousand, twenty".
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