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222213213102100 = 225211474298127913
BaseRepresentation
bin110010100001101000001011…
…101000011010000000010100
31002010210101010220000020021111
4302201220023220122000110
5213111220130023231400
62104335201341224404
764543242400323163
oct6241501350320024
91063711126006244
10222213213102100
1164893104789560
1220b0a4ab562104
1396cb8016bb94c
143cc32695b13da
151aa54203703ba
hexca1a0ba1a014

222213213102100 has 72 divisors (see below), whose sum is σ = 537231604226688. Its totient is φ = 79085553580800.

The previous prime is 222213213102071. The next prime is 222213213102107. The reversal of 222213213102100 is 1201312312222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222213213102107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2149012257 + ... + 2149115656.

It is an arithmetic number, because the mean of its divisors is an integer number (7461550058704).

Almost surely, 2222213213102100 is an apocalyptic number.

222213213102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222213213102100 is an abundant number, since it is smaller than the sum of its proper divisors (315018391124588).

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

222213213102100 is a wasteful number, since it uses less digits than its factorization.

222213213102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298127985 (or 4298127978 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 222213213102100 its reverse (1201312312222), we get a palindrome (223414525414322).

The spelling of 222213213102100 in words is "two hundred twenty-two trillion, two hundred thirteen billion, two hundred thirteen million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2350 2585 4700 5170 10340 12925 25850 51700 4298127913 8596255826 17192511652 21490639565 42981279130 47279407043 85962558260 94558814086 107453197825 189117628172 202012011911 214906395650 236397035215 404024023822 429812791300 472794070430 808048047644 945588140860 1010060059555 1181985176075 2020120119110 2222132131021 2363970352150 4040240238220 4444264262042 4727940704300 5050300297775 8888528524084 10100600595550 11110660655105 20201201191100 22221321310210 44442642620420 55553303275525 111106606551050 222213213102100