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220002020120200 = 23526762712618093
BaseRepresentation
bin110010000001011100110110…
…010000100101011010001000
31001211221222200001022022011211
4302001130312100211122020
5212314003114122321300
62055523311025502504
764224423102150613
oct6201346620453210
91054858601268154
10220002020120200
1164110372a0a60a
1220811a474a1a34
13959b141c42cc6
143c4822429717a
151a67b5645e4ba
hexc81736425688

220002020120200 has 96 divisors (see below), whose sum is σ = 519222077660160. Its totient is φ = 86673506515200.

The previous prime is 220002020120159. The next prime is 220002020120257. The reversal of 220002020120200 is 2021020200022.

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 23 ways as a sum of consecutive naturals, for example, 82722354 + ... + 85340446.

It is an arithmetic number, because the mean of its divisors is an integer number (5408563308960).

Almost surely, 2220002020120200 is an apocalyptic number.

220002020120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220002020120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259611038830080).

220002020120200 is an abundant number, since it is smaller than the sum of its proper divisors (299220057539960).

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

220002020120200 is a wasteful number, since it uses less digits than its factorization.

220002020120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624447 (or 2624438 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 220002020120200 its reverse (2021020200022), we get a palindrome (222023040320222).

The spelling of 220002020120200 in words is "two hundred twenty trillion, two billion, twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 3350 6271 6700 12542 13400 25084 31355 50168 62710 125420 156775 250840 313550 420157 627100 840314 1254200 1680628 2100785 2618093 3361256 4201570 5236186 8403140 10472372 10503925 13090465 16806280 20944744 21007850 26180930 42015700 52361860 65452325 84031400 104723720 130904650 175412231 261809300 350824462 523618600 701648924 877061155 1403297848 1754122310 3508244620 4385305775 7016489240 8770611550 16418061203 17541223100 32836122406 35082446200 65672244812 82090306015 131344489624 164180612030 328361224060 410451530075 656722448120 820903060150 1100010100601 1641806120300 2200020201202 3283612240600 4400040402404 5500050503005 8800080804808 11000101006010 22000202012020 27500252515025 44000404024040 55000505030050 110001010060100 220002020120200