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10020122120122 = 229241617235493
BaseRepresentation
bin1001000111001111110111…
…0100011100111110111010
31022110220200112112212101121
42101303331310130332322
52303132202230320442
633151102555535454
72052633652502452
oct221637564347672
938426615485347
1010020122120122
113213567792764
121159b7275a58a
13578b7cc2008a
14268d95722d62
151259a6782967
hex91cfdd1cfba

10020122120122 has 48 divisors (see below), whose sum is σ = 15971916155832. Its totient is φ = 4711648578560.

The previous prime is 10020122120087. The next prime is 10020122120149. The reversal of 10020122120122 is 22102122102001.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1823118352441 + 8197003767681 = 1350229^2 + 2863041^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10020122120096 and 10020122120105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42431808 + ... + 42667300.

Almost surely, 210020122120122 is an apocalyptic number.

10020122120122 is a deficient number, since it is larger than the sum of its proper divisors (5951794035710).

10020122120122 is a wasteful number, since it uses less digits than its factorization.

10020122120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236211 (or 236182 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10020122120122 its reverse (22102122102001), we get a palindrome (32122244222123).

The spelling of 10020122120122 in words is "ten trillion, twenty billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 29 41 58 82 617 841 1189 1234 1682 2378 17893 25297 34481 35786 50594 68962 235493 470986 518897 733613 1037794 1467226 6829297 9655213 13658594 19310426 21274777 42549554 145299181 198049613 280001177 290598362 396099226 560002354 4213676249 5957266421 8120034133 8427352498 11914532842 16240068266 122196611221 172760726209 244393222442 345521452418 5010061060061 10020122120122