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2001011210020 = 225719941314783
BaseRepresentation
bin11101000111100101100…
…011111111011100100100
321002021221220121122100001
4131013211203333130210
5230241032332210040
64131130222431044
7264365631435154
oct35074543773444
97067856548301
102001011210020
11701695730949
12283986732484
13116904bc7ab4
146cbc6cb8764
15370b6b7559a
hex1d1e58ff724

2001011210020 has 48 divisors (see below), whose sum is σ = 4208699658240. Its totient is φ = 799152288896.

The previous prime is 2001011209973. The next prime is 2001011210021. The reversal of 2001011210020 is 200121101002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2001011209979 and 2001011210006.

It is not an unprimeable number, because it can be changed into a prime (2001011210021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135351549 + ... + 135366331.

It is an arithmetic number, because the mean of its divisors is an integer number (87681242880).

Almost surely, 22001011210020 is an apocalyptic number.

2001011210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001011210020 is an abundant number, since it is smaller than the sum of its proper divisors (2207688448220).

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

2001011210020 is a wasteful number, since it uses less digits than its factorization.

2001011210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24924 (or 24922 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001011210020 its reverse (200121101002), we get a palindrome (2201132311022).

The spelling of 2001011210020 in words is "two trillion, one billion, eleven million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 719 1438 2876 3595 7190 9413 14380 14783 18826 29566 37652 47065 59132 73915 94130 147830 188260 295660 6767947 10628977 13535894 21257954 27071788 33839735 42515908 53144885 67679470 106289770 135358940 139152379 212579540 278304758 556609516 695761895 1391523790 2783047580 100050560501 200101121002 400202242004 500252802505 1000505605010 2001011210020