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1013012311122 = 233725110676999
BaseRepresentation
bin11101011110111000011…
…11010010110001010010
310120211202120101022122000
432233130033102301102
5113044122122423442
62053212121254430
7133121250400110
oct16573417226122
93524676338560
101013012311122
11360686049929
121443b3934416
13746b008b016
143705c698ab0
151b53dcead4c
hexebdc3d2c52

1013012311122 has 64 divisors (see below), whose sum is σ = 2582979840000. Its totient is φ = 288278946000.

The previous prime is 1013012311093. The next prime is 1013012311141. The reversal of 1013012311122 is 2211132103101.

1013012311122 is a `hidden beast` number, since 10 + 1 + 301 + 231 + 1 + 122 = 666.

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 = 1013012311095 and 1013012311104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5243622 + ... + 5433377.

It is an arithmetic number, because the mean of its divisors is an integer number (40359060000).

Almost surely, 21013012311122 is an apocalyptic number.

1013012311122 is an abundant number, since it is smaller than the sum of its proper divisors (1569967528878).

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

1013012311122 is a wasteful number, since it uses less digits than its factorization.

1013012311122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10677268 (or 10677262 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1013012311122 its reverse (2211132103101), we get a palindrome (3224144414223).

The spelling of 1013012311122 in words is "one trillion, thirteen billion, twelve million, three hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 251 378 502 753 1506 1757 2259 3514 4518 5271 6777 10542 13554 15813 31626 47439 94878 10676999 21353998 32030997 64061994 74738993 96092991 149477986 192185982 224216979 288278973 448433958 576557946 672650937 1345301874 2017952811 2679926749 4035905622 5359853498 8039780247 16079560494 18759487243 24119340741 37518974486 48238681482 56278461729 72358022223 112556923458 144716044446 168835385187 337670770374 506506155561 1013012311122