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112475114024 = 237134125115013
BaseRepresentation
bin110100011000000001…
…0100000101000101000
3101202022120202210111212
41220300002200220220
53320322112122044
6123400444012252
711061144460220
oct1506002405050
9352276683455
10112475114024
11437782a6999
121996b831088
13a7b6225010
14562dbd7080
152dd4559a9e
hex1a300a0a28

112475114024 has 128 divisors (see below), whose sum is σ = 266965735680. Its totient is φ = 43234560000.

The previous prime is 112475114023. The next prime is 112475114029. The reversal of 112475114024 is 420411574211.

It is a super-3 number, since 3×1124751140243 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112475114021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7484342 + ... + 7499354.

It is an arithmetic number, because the mean of its divisors is an integer number (2085669810).

Almost surely, 2112475114024 is an apocalyptic number.

112475114024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112475114024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133482867840).

112475114024 is an abundant number, since it is smaller than the sum of its proper divisors (154490621656).

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

112475114024 is a wasteful number, since it uses less digits than its factorization.

112475114024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15331 (or 15327 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

Adding to 112475114024 its reverse (420411574211), we get a palindrome (532886688235).

The spelling of 112475114024 in words is "one hundred twelve billion, four hundred seventy-five million, one hundred fourteen thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 164 182 251 287 328 364 502 533 574 728 1004 1066 1148 1757 2008 2132 2296 3263 3514 3731 4264 6526 7028 7462 10291 13052 14056 14924 15013 20582 22841 26104 29848 30026 41164 45682 60052 72037 82328 91364 105091 120104 133783 144074 182728 195169 210182 267566 288148 390338 420364 535132 576296 615533 780676 840728 936481 1070264 1231066 1366183 1561352 1872962 2462132 2732366 3745924 3768263 4308731 4924264 5464732 7491848 7536526 8001929 8617462 10929464 15073052 16003858 17234924 26377841 30146104 32007716 34469848 48987419 52755682 56013503 64015432 97974838 105511364 112027006 154498783 195949676 211022728 224054012 308997566 342911933 391899352 448108024 617995132 685823866 1081491481 1235990264 1371647732 2008484179 2162982962 2743295464 4016968358 4325965924 8033936716 8651931848 14059389253 16067873432 28118778506 56237557012 112475114024