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212222122101100 = 225211903917827949
BaseRepresentation
bin110000010000001111010000…
…001100111000100101101100
31000211102020101120122000120001
4300100033100030320211230
5210304021401224213400
62031205255203034044
762462354011124566
oct6020172014704554
91024366346560501
10212222122101100
1161690995341331
121b97609b36b924
1391555ca200c87
143a5986976a336
1519805b7630a6a
hexc103d033896c

212222122101100 has 36 divisors (see below), whose sum is σ = 460525899456000. Its totient is φ = 84888130960960.

The previous prime is 212222122101061. The next prime is 212222122101137. The reversal of 212222122101100 is 1101221222212.

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 11 ways as a sum of consecutive naturals, for example, 2989926 + ... + 20817874.

It is an arithmetic number, because the mean of its divisors is an integer number (12792386096000).

Almost surely, 2212222122101100 is an apocalyptic number.

212222122101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212222122101100 is an abundant number, since it is smaller than the sum of its proper divisors (248303777354900).

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

212222122101100 is a wasteful number, since it uses less digits than its factorization.

212222122101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17947002 (or 17946995 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 212222122101100 its reverse (1101221222212), we get a palindrome (213323343323312).

The spelling of 212222122101100 in words is "two hundred twelve trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 119039 238078 476156 595195 1190390 2380780 2975975 5951950 11903900 17827949 35655898 71311796 89139745 178279490 356558980 445698725 891397450 1782794900 2122221221011 4244442442022 8488884884044 10611106105055 21222212210110 42444424420220 53055530525275 106111061050550 212222122101100