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2002022040200 = 2352713110001211
BaseRepresentation
bin11101001000100001110…
…100000000001010001000
321002101120100200010122212
4131020201310000022020
5230300120120241300
64131414412204252
7264432654364010
oct35104164001210
97071510603585
102002022040200
11702064281596
12284009169688
13116a36457670
146cc81244c40
1537125795935
hex1d221d00288

2002022040200 has 96 divisors (see below), whose sum is σ = 5728863120960. Its totient is φ = 633606969600.

The previous prime is 2002022040169. The next prime is 2002022040203. The reversal of 2002022040200 is 20402202002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2002022040203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54982406 + ... + 55018805.

It is an arithmetic number, because the mean of its divisors is an integer number (59675657510).

Almost surely, 22002022040200 is an apocalyptic number.

2002022040200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002022040200 is an abundant number, since it is smaller than the sum of its proper divisors (3726841080760).

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

2002022040200 is a wasteful number, since it uses less digits than its factorization.

2002022040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110001247 (or 110001238 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 2002022040200 its reverse (20402202002), we get a palindrome (2022424242202).

The spelling of 2002022040200 in words is "two trillion, two billion, twenty-two million, forty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 110001211 220002422 440004844 550006055 770008477 880009688 1100012110 1430015743 1540016954 2200024220 2750030275 2860031486 3080033908 3850042385 4400048440 5500060550 5720062972 6160067816 7150078715 7700084770 10010110201 11000121100 11440125944 14300157430 15400169540 19250211925 20020220402 22000242200 28600314860 30800339080 35750393575 38500423850 40040440804 50050551005 57200629720 71500787150 77000847700 80080881608 100101102010 143001574300 154001695400 200202204020 250252755025 286003148600 400404408040 500505510050 1001011020100 2002022040200