Search a number
-
+
201002001022020 = 2235112393371418147
BaseRepresentation
bin101101101100111101101100…
…110111101011110001000100
3222100200121022001022221020010
4231230331230313223301010
5202321204044230201040
61551255013340510220
760223625651423142
oct5554755467536104
9870617261287203
10201002001022020
1159055519513750
121a66364b54b370
13882053ac9c003
14378c797b10592
1518387cb31ae80
hexb6cf6cdebc44

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".