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2001111100020 = 2232511117283889
BaseRepresentation
bin11101000111101011100…
…001000010101001110100
321002022012212120120122200
4131013223201002221310
5230241233420200040
64131144151424500
7264401253461514
oct35075341025164
97068185516580
102001111100020
1170173705776a
122839b4085130
1311691c8004c6
146cbd627b844
15370c0807630
hex1d1eb842a74

2001111100020 has 36 divisors (see below), whose sum is σ = 6070037003940. Its totient is φ = 533629626624.

The previous prime is 2001111100019. The next prime is 2001111100031. The reversal of 2001111100020 is 200011111002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1584365968656 + 416745131364 = 1258716^2 + 645558^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2001111099975 and 2001111100011.

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, 5558641765 + ... + 5558642124.

Almost surely, 22001111100020 is an apocalyptic number.

2001111100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001111100020 is an abundant number, since it is smaller than the sum of its proper divisors (4068925903920).

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

2001111100020 is a wasteful number, since it uses less digits than its factorization.

2001111100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11117283904 (or 11117283899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001111100020 its reverse (200011111002), we get a palindrome (2201122211022).

The spelling of 2001111100020 in words is "two trillion, one billion, one hundred eleven million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11117283889 22234567778 33351851667 44469135556 55586419445 66703703334 100055555001 111172838890 133407406668 166759258335 200111110002 222345677780 333518516670 400222220004 500277775005 667037033340 1000555550010 2001111100020