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242241020142242 = 21122343521563087
BaseRepresentation
bin110111000101000100100001…
…111101001010001010100010
31011202201000102012022201220212
4313011010201331022022202
5223222334102124022432
62215111553252534122
7102011223205316012
oct6705044175121242
91152630365281825
10242241020142242
1170204926729400
1223203b23621342
13a5222cb92c694
1443b675690dc42
151d013a15542b2
hexdc5121f4a2a2

242241020142242 has 24 divisors (see below), whose sum is σ = 416762488130688. Its totient is φ = 105322182668120.

The previous prime is 242241020142179. The next prime is 242241020142269.

It is a happy number.

242241020142242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242241020142199 and 242241020142208.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21760775978 + ... + 21760787109.

It is an arithmetic number, because the mean of its divisors is an integer number (17365103672112).

Almost surely, 2242241020142242 is an apocalyptic number.

242241020142242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242241020142242 is a deficient number, since it is larger than the sum of its proper divisors (174521467988446).

242241020142242 is a wasteful number, since it uses less digits than its factorization.

242241020142242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43521563134 (or 43521563123 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The spelling of 242241020142242 in words is "two hundred forty-two trillion, two hundred forty-one billion, twenty million, one hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 11 22 23 46 121 242 253 506 2783 5566 43521563087 87043126174 478737193957 957474387914 1000995951001 2001991902002 5266109133527 10532218267054 11010955461011 22021910922022 121120510071121 242241020142242