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2121202111112 = 237233171748249
BaseRepresentation
bin11110110111100001011…
…111111001001010001000
321111210012020000000220022
4132313201133321022020
5234223210220023422
64302244454520012
7306152236310420
oct36674137711210
97453166000808
102121202111112
11748662323867
122a312a366008
1312504a801a96
1474949715480
153a29d789342
hex1ede17f9288

2121202111112 has 128 divisors (see below), whose sum is σ = 4965027840000. Its totient is φ = 829657382400.

The previous prime is 2121202111111. The next prime is 2121202111159. The reversal of 2121202111112 is 2111112021212.

It is not an unprimeable number, because it can be changed into a prime (2121202111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2460764 + ... + 3209012.

It is an arithmetic number, because the mean of its divisors is an integer number (38789280000).

Almost surely, 22121202111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121202111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482513920000).

2121202111112 is an abundant number, since it is smaller than the sum of its proper divisors (2843825728888).

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

2121202111112 is a wasteful number, since it uses less digits than its factorization.

2121202111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748387 (or 748383 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2121202111112 its reverse (2111112021212), we get a palindrome (4232314132324).

It can be divided in two parts, 212120 and 2111112, that added together give a palindrome (2323232).

The spelling of 2121202111112 in words is "two trillion, one hundred twenty-one billion, two hundred two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 23 28 31 46 56 62 71 92 124 142 161 184 217 248 284 322 434 497 568 644 713 868 994 1288 1426 1633 1736 1988 2201 2852 3266 3976 4402 4991 5704 6532 8804 9982 11431 13064 15407 17608 19964 22862 30814 39928 45724 50623 61628 91448 101246 123256 202492 354361 404984 708722 748249 1417444 1496498 2834888 2992996 5237743 5985992 10475486 17209727 20950972 23195719 34419454 41901944 46391438 53125679 68838908 92782876 106251358 120468089 137677816 162370033 185565752 212502716 240936178 324740066 371879753 425005432 481872356 533501537 649480132 743759506 963744712 1067003074 1221890617 1298960264 1487519012 1646896049 2134006148 2443781234 2975038024 3293792098 3734510759 4268012296 4887562468 6587584196 7469021518 8553234319 9775124936 11528272343 13175168392 14938043036 17106468638 23056544686 29876086072 34212937276 37878609127 46113089372 68425874552 75757218254 92226178744 151514436508 265150263889 303028873016 530300527778 1060601055556 2121202111112