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222102011011122 = 232113863290377253
BaseRepresentation
bin110010100000000000100111…
…011110000110000000110010
31002010101202010000122201002100
4302200000213132012000302
5213102404404304323442
62104212131050401230
764532224611205254
oct6240004736060062
91063352100581070
10222102011011122
116484aa30034730
1220ab0a36130216
1396c118c147908
143cbbb1a8b5cd4
151aa25b297784c
hexca0027786032

222102011011122 has 48 divisors (see below), whose sum is σ = 525104288025408. Its totient is φ = 67286216833440.

The previous prime is 222102011011079. The next prime is 222102011011123. The reversal of 222102011011122 is 221110110201222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222102011011095 and 222102011011104.

It is not an unprimeable number, because it can be changed into a prime (222102011011123) 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, 144423753 + ... + 145953500.

It is an arithmetic number, because the mean of its divisors is an integer number (10939672667196).

Almost surely, 2222102011011122 is an apocalyptic number.

222102011011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

222102011011122 is an abundant number, since it is smaller than the sum of its proper divisors (303002277014286).

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

222102011011122 is a wasteful number, since it uses less digits than its factorization.

222102011011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290381135 (or 290381132 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 222102011011122 its reverse (221110110201222), we get a palindrome (443212121212344).

The spelling of 222102011011122 in words is "two hundred twenty-two trillion, one hundred two billion, eleven million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 3863 7726 11589 23178 34767 42493 69534 84986 127479 254958 382437 764874 290377253 580754506 871131759 1742263518 2613395277 3194149783 5226790554 6388299566 9582449349 19164898698 28747348047 57494696094 1121727328339 2243454656678 3365181985017 6730363970034 10095545955051 12339000611729 20191091910102 24678001223458 37017001835187 74034003670374 111051005505561 222102011011122