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2001011202020 = 2255317310911829
BaseRepresentation
bin11101000111100101100…
…011111101011111100100
321002021221220121020100202
4131013211203331133210
5230241032331431040
64131130222330032
7264365631402635
oct35074543753744
97067856536322
102001011202020
11701695725936
12283986729918
13116904bc426c
146cbc6cb588c
15370b6b73015
hex1d1e58fd7e4

2001011202020 has 48 divisors (see below), whose sum is σ = 4306157296560. Its totient is φ = 780763117056.

The previous prime is 2001011202013. The next prime is 2001011202137. The reversal of 2001011202020 is 202021101002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4719140416 + 1996292061604 = 68696^2 + 1412902^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001011201992 and 2001011202010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5272535 + ... + 5639294.

It is an arithmetic number, because the mean of its divisors is an integer number (89711610345).

Almost surely, 22001011202020 is an apocalyptic number.

2001011202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001011202020 is an abundant number, since it is smaller than the sum of its proper divisors (2305146094540).

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

2001011202020 is a wasteful number, since it uses less digits than its factorization.

2001011202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10912064 (or 10912062 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2001011202020 its reverse (202021101002), we get a palindrome (2203032303022).

The spelling of 2001011202020 in words is "two trillion, one billion, eleven million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 173 212 265 346 530 692 865 1060 1730 3460 9169 18338 36676 45845 91690 183380 10911829 21823658 43647316 54559145 109118290 218236580 578326937 1156653874 1887746417 2313307748 2891634685 3775492834 5783269370 7550985668 9438732085 11566538740 18877464170 37754928340 100050560101 200101120202 400202240404 500252800505 1000505601010 2001011202020