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2001122020000 = 2554175885653
BaseRepresentation
bin11101000111101100001…
…010101100101010100000
321002022020122010101001101
4131013230022230222200
5230241244214120000
64131145221444144
7264401445342265
oct35075412545240
97068218111041
102001122020000
11701742236044
122839b7870654
13116921b54a2c
146cbd78c126c
15370c1762e6a
hex1d1ec2acaa0

2001122020000 has 120 divisors (see below), whose sum is σ = 5212653007716. Its totient is φ = 753363456000.

The previous prime is 2001122019997. The next prime is 2001122020043. The reversal of 2001122020000 is 202211002.

It can be written as a sum of positive squares in 10 ways, for example, as 108076816 + 2001013943184 = 10396^2 + 1414572^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2602827 + ... + 3282826.

Almost surely, 22001122020000 is an apocalyptic number.

2001122020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001122020000 is an abundant number, since it is smaller than the sum of its proper divisors (3211530987716).

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

2001122020000 is an equidigital number, since it uses as much as digits as its factorization.

2001122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885700 (or 5885677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2001122020000 its reverse (202211002), we get a palindrome (2001324231002).

The spelling of 2001122020000 in words is "two trillion, one billion, one hundred twenty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3400 4000 4250 5000 6800 8500 10000 10625 13600 17000 20000 21250 34000 42500 68000 85000 170000 340000 5885653 11771306 23542612 29428265 47085224 58856530 94170448 100056101 117713060 147141325 188340896 200112202 235426120 294282650 400224404 470852240 500280505 588565300 735706625 800448808 941704480 1000561010 1177130600 1471413250 1600897616 2001122020 2354261200 2501402525 2942826500 3201795232 3678533125 4002244040 4708522400 5002805050 5885653000 7357066250 8004488080 10005610100 11771306000 12507012625 14714132500 16008976160 20011220200 23542612000 25014025250 29428265000 40022440400 50028050500 58856530000 62535063125 80044880800 100056101000 117713060000 125070126250 200112202000 250140252500 400224404000 500280505000 1000561010000 2001122020000