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2011022120020 = 225653153983317
BaseRepresentation
bin11101010000111010010…
…000100101010001010100
321010020210120220120011111
4131100322100211101110
5230422033130320040
64135503435144404
7265202000656534
oct35207220452124
97106716816144
102011022120020
11705962617791
122858bb2a5104
1311783bc35094
146d49667b4c4
15374a098adea
hex1d43a425454

2011022120020 has 24 divisors (see below), whose sum is σ = 4229613778824. Its totient is φ = 803176976256.

The previous prime is 2011022120017. The next prime is 2011022120033. The reversal of 2011022120020 is 200212201102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 591025763524 + 1419996356496 = 768782^2 + 1191636^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76978599 + ... + 77004718.

It is an arithmetic number, because the mean of its divisors is an integer number (176233907451).

Almost surely, 22011022120020 is an apocalyptic number.

2011022120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011022120020 is an abundant number, since it is smaller than the sum of its proper divisors (2218591658804).

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

2011022120020 is a wasteful number, since it uses less digits than its factorization.

2011022120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153983979 (or 153983977 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2011022120020 its reverse (200212201102), we get a palindrome (2211234321122).

The spelling of 2011022120020 in words is "two trillion, eleven billion, twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 653 1306 2612 3265 6530 13060 153983317 307966634 615933268 769916585 1539833170 3079666340 100551106001 201102212002 402204424004 502755530005 1005511060010 2011022120020