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30041120222112 = 2532691249931387
BaseRepresentation
bin1101101010010011111100…
…10011001010101110100000
310221100220101022122110211110
412311021332103022232200
512414143203234101422
6143520411120143320
76220253651455536
oct665117623125640
9127326338573743
1030041120222112
11963240521659a
123452206467b40
13139bb33602a1c
1475bdd863c156
15371689cdd60c
hex1b527e4caba0

30041120222112 has 96 divisors (see below), whose sum is σ = 79214549400000. Its totient is φ = 9968482787328.

The previous prime is 30041120222093. The next prime is 30041120222123. The reversal of 30041120222112 is 21122202114003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×300411202221123 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31788483 + ... + 32719869.

It is an arithmetic number, because the mean of its divisors is an integer number (825151556250).

Almost surely, 230041120222112 is an apocalyptic number.

30041120222112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30041120222112 is an abundant number, since it is smaller than the sum of its proper divisors (49173429177888).

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

30041120222112 is a wasteful number, since it uses less digits than its factorization.

30041120222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932918 (or 932910 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 30041120222112 its reverse (21122202114003), we get a palindrome (51163322336115).

The spelling of 30041120222112 in words is "thirty trillion, forty-one billion, one hundred twenty million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 538 807 1076 1249 1614 2152 2498 3228 3747 4304 4996 6456 7494 8608 9992 12912 14988 19984 25824 29976 39968 59952 119904 335981 671962 931387 1007943 1343924 1862774 2015886 2687848 2794161 3725548 4031772 5375696 5588322 7451096 8063544 10751392 11176644 14902192 16127088 22353288 29804384 32254176 44706576 89413152 250543103 501086206 751629309 1002172412 1163302363 1503258618 2004344824 2326604726 3006517236 3489907089 4008689648 4653209452 6013034472 6979814178 8017379296 9306418904 12026068944 13959628356 18612837808 24052137888 27919256712 37225675616 55838513424 111677026848 312928335647 625856671294 938785006941 1251713342588 1877570013882 2503426685176 3755140027764 5006853370352 7510280055528 10013706740704 15020560111056 30041120222112