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2002012102112 = 251131183468851
BaseRepresentation
bin11101001000100001001…
…110000101110111100000
321002101112122222020011112
4131020201032011313200
5230300110044231422
64131413415202452
7264432504043001
oct35104116056740
97071478866145
102002012102112
117020597039a0
12284005976428
13116a34388039
146cc7dbb91a8
1537124980ee2
hex1d221385de0

2002012102112 has 48 divisors (see below), whose sum is σ = 4438478467584. Its totient is φ = 880650480000.

The previous prime is 2002012102099. The next prime is 2002012102127. The reversal of 2002012102112 is 2112012102002.

It is a super-2 number, since 2×20020121021122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91723514 + ... + 91745337.

It is an arithmetic number, because the mean of its divisors is an integer number (92468301408).

Almost surely, 22002012102112 is an apocalyptic number.

2002012102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2002012102112 is an abundant number, since it is smaller than the sum of its proper divisors (2436466365472).

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

2002012102112 is a wasteful number, since it uses less digits than its factorization.

2002012102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183468903 (or 183468895 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2002012102112 its reverse (2112012102002), we get a palindrome (4114024204114).

The spelling of 2002012102112 in words is "two trillion, two billion, twelve million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 10912 183468851 366937702 733875404 1467750808 2018157361 2935501616 4036314722 5687534381 5871003232 8072629444 11375068762 16145258888 22750137524 32290517776 45500275048 62562878191 64581035552 91000550096 125125756382 182001100192 250251512764 500503025528 1001006051056 2002012102112