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2001012020 = 225722041849
BaseRepresentation
bin111011101000101…
…0000010100110100
312011110020221110022
41313101100110310
513044224341040
6530320344312
7100405215200
oct16721202464
95143227408
102001012020
11937578a47
1247a175098
1325b73cba7
1414da7db00
15baa126b5
hex77450534

2001012020 has 36 divisors (see below), whose sum is σ = 4888188900. Its totient is φ = 686060928.

The previous prime is 2001012019. The next prime is 2001012067. The reversal of 2001012020 is 202101002.

It can be written as a sum of positive squares in 2 ways, for example, as 528448144 + 1472563876 = 22988^2 + 38374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001011989 and 2001012007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1019945 + ... + 1021904.

It is an arithmetic number, because the mean of its divisors is an integer number (135783025).

Almost surely, 22001012020 is an apocalyptic number.

2001012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001012020 is an abundant number, since it is smaller than the sum of its proper divisors (2887176880).

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

2001012020 is a wasteful number, since it uses less digits than its factorization.

2001012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041872 (or 2041863 counting only the distinct ones).

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

The square root of 2001012020 is about 44732.6728465894. The cubic root of 2001012020 is about 1260.1335249442.

Adding to 2001012020 its reverse (202101002), we get a palindrome (2203113022).

The spelling of 2001012020 in words is "two billion, one million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2041849 4083698 8167396 10209245 14292943 20418490 28585886 40836980 57171772 71464715 100050601 142929430 200101202 285858860 400202404 500253005 1000506010 2001012020