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2001222221020 = 225112826951331
BaseRepresentation
bin11101000111110010001…
…000111011110011011100
321002022111121200010000021
4131013302020323303130
5230242000342033040
64131203201241524
7264404103132451
oct35076210736334
97068447603007
102001222221020
11701793854600
12283a253332a4
13116939838b89
146cc06d25828
15370ca45724a
hex1d1f223bcdc

2001222221020 has 36 divisors (see below), whose sum is σ = 4619350140552. Its totient is φ = 727717170400.

The previous prime is 2001222220999. The next prime is 2001222221021. The reversal of 2001222221020 is 201222221002.

It is a super-3 number, since 3×20012222210203 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001222220985 and 2001222221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001222221021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413473246 + ... + 413478085.

It is an arithmetic number, because the mean of its divisors is an integer number (128315281682).

Almost surely, 22001222221020 is an apocalyptic number.

2001222221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001222221020 is an abundant number, since it is smaller than the sum of its proper divisors (2618127919532).

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

2001222221020 is a wasteful number, since it uses less digits than its factorization.

2001222221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826951362 (or 826951349 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2001222221020 its reverse (201222221002), we get a palindrome (2202444442022).

The spelling of 2001222221020 in words is "two trillion, one billion, two hundred twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 826951331 1653902662 3307805324 4134756655 8269513310 9096464641 16539026620 18192929282 36385858564 45482323205 90964646410 100061111051 181929292820 200122222102 400244444204 500305555255 1000611110510 2001222221020