Search a number
-
+
2001010021020 = 22355411730457
BaseRepresentation
bin11101000111100101011…
…111011101001010011100
321002021221211101020100000
4131013211133131022130
5230241032031133040
64131130141134300
7264365615353533
oct35074537351234
97067854336300
102001010021020
11701694a995aa
1228398625a390
1311690489c84a
146cbc6a8931a
15370b69dd130
hex1d1e57dd29c

2001010021020 has 72 divisors (see below), whose sum is σ = 6294535241904. Its totient is φ = 533602670976.

The previous prime is 2001010021001. The next prime is 2001010021027. The reversal of 2001010021020 is 201200101002.

It is a super-2 number, since 2×20010100210202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001010020993 and 2001010021011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001010021027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205860369 + ... + 205870088.

It is an arithmetic number, because the mean of its divisors is an integer number (87424100582).

Almost surely, 22001010021020 is an apocalyptic number.

2001010021020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001010021020 is an abundant number, since it is smaller than the sum of its proper divisors (4293525220884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001010021020 is a wasteful number, since it uses less digits than its factorization.

2001010021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411730481 (or 411730467 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2001010021020 its reverse (201200101002), we get a palindrome (2202210122022).

The spelling of 2001010021020 in words is "two trillion, one billion, ten million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 411730457 823460914 1235191371 1646921828 2058652285 2470382742 3705574113 4117304570 4940765484 6175956855 7411148226 8234609140 11116722339 12351913710 14822296452 18527870565 22233444678 24703827420 33350167017 37055741130 44466889356 55583611695 66700334034 74111482260 100050501051 111167223390 133400668068 166750835085 200101002102 222334446780 333501670170 400202004204 500252505255 667003340340 1000505010510 2001010021020