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2112141410334 = 233193755638307
BaseRepresentation
bin11110101111000101011…
…100000100000000011110
321110220210202200202002000
4132233011130010000132
5234101131200112314
64254145424343130
7305411555523234
oct36570534040036
97426722622060
102112141410334
117448328431aa
122a141ba74aa6
131242355ba887
147432a21c954
1539e1d0bc209
hex1ebc570401e

2112141410334 has 64 divisors (see below), whose sum is σ = 5074213689600. Its totient is φ = 648965201184.

The previous prime is 2112141410317. The next prime is 2112141410339. The reversal of 2112141410334 is 4330141412112.

It is a happy number.

2112141410334 is a `hidden beast` number, since 2 + 1 + 1 + 214 + 1 + 410 + 3 + 34 = 666.

It is a super-2 number, since 2×21121414103342 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2112141410298 and 2112141410307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112141410339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27781192 + ... + 27857115.

It is an arithmetic number, because the mean of its divisors is an integer number (79284588900).

Almost surely, 22112141410334 is an apocalyptic number.

2112141410334 is an abundant number, since it is smaller than the sum of its proper divisors (2962072279266).

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

2112141410334 is a wasteful number, since it uses less digits than its factorization.

2112141410334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55638374 (or 55638368 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 2112141410334 its reverse (4330141412112), we get a palindrome (6442282822446).

The spelling of 2112141410334 in words is "two trillion, one hundred twelve billion, one hundred forty-one million, four hundred ten thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 111 114 171 222 333 342 513 666 703 999 1026 1406 1998 2109 4218 6327 12654 18981 37962 55638307 111276614 166914921 333829842 500744763 1001489526 1057127833 1502234289 2058617359 2114255666 3004468578 3171383499 4117234718 6175852077 6342766998 9514150497 12351704154 18527556231 19028300994 28542451491 37055112462 39113729821 55582668693 57084902982 78227459642 111165337386 117341189463 234682378926 352023568389 704047136778 1056070705167 2112141410334