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220002111100100 = 22527714426601833
BaseRepresentation
bin110010000001011100111011…
…101011101001010011000100
31001211221222220101111120010202
4302001130323223221103010
5212314003310420200400
62055523324035510032
764224425255364260
oct6201347353512304
91054858811446122
10220002111100100
116411040a30010a
1220811a71a58318
13959b157a48c74
143c482323bb0a0
151a67b5e4314d5
hexc8173bae94c4

220002111100100 has 72 divisors (see below), whose sum is σ = 553289816435328. Its totient is φ = 74366910777600.

The previous prime is 220002111100087. The next prime is 220002111100169. The reversal of 220002111100100 is 1001111200022.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2213251217 + ... + 2213350616.

It is an arithmetic number, because the mean of its divisors is an integer number (7684580783824).

Almost surely, 2220002111100100 is an apocalyptic number.

220002111100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220002111100100 is an abundant number, since it is smaller than the sum of its proper divisors (333287705335228).

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

220002111100100 is a wasteful number, since it uses less digits than its factorization.

220002111100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426601925 (or 4426601918 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 220002111100100 its reverse (1001111200022), we get a palindrome (221003222300122).

The spelling of 220002111100100 in words is "two hundred twenty trillion, two billion, one hundred eleven million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 284 350 355 497 700 710 994 1420 1775 1988 2485 3550 4970 7100 9940 12425 24850 49700 4426601833 8853203666 17706407332 22133009165 30986212831 44266018330 61972425662 88532036660 110665045825 123944851324 154931064155 221330091650 309862128310 314288730143 442660183300 619724256620 628577460286 774655320775 1257154920572 1549310641550 1571443650715 2200021111001 3098621283100 3142887301430 4400042222002 6285774602860 7857218253575 8800084444004 11000105555005 15714436507150 22000211110010 31428873014300 44000422220020 55000527775025 110001055550050 220002111100100