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112004514132 = 223719223160591
BaseRepresentation
bin110100001001111111…
…1010100000101010100
3101201002210020211211020
41220103333110011110
53313341123423012
6123242033241140
711043401442660
oct1502377240524
9351083224736
10112004514132
11435566a0265
121985a1031b0
13a73c894b44
1455c74d58a0
152da809ca8c
hex1a13fd4154

112004514132 has 144 divisors (see below), whose sum is σ = 328933527552. Its totient is φ = 28998699840.

The previous prime is 112004514119. The next prime is 112004514163. The reversal of 112004514132 is 231415400211.

It is a super-2 number, since 2×1120045141322 (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 617157 + ... + 777747.

It is an arithmetic number, because the mean of its divisors is an integer number (2284260608).

Almost surely, 2112004514132 is an apocalyptic number.

112004514132 is a gapful number since it is divisible by the number (12) 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 112004514132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164466763776).

112004514132 is an abundant number, since it is smaller than the sum of its proper divisors (216929013420).

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

112004514132 is a wasteful number, since it uses less digits than its factorization.

112004514132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160666 (or 160645 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 112004514132 its reverse (231415400211), we get a palindrome (343419914343).

The spelling of 112004514132 in words is "one hundred twelve billion, four million, five hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 23 28 38 42 46 57 69 76 84 92 114 133 138 161 228 266 276 322 361 399 437 483 532 644 722 798 874 966 1083 1311 1444 1596 1748 1932 2166 2527 2622 3059 4332 5054 5244 6118 7581 8303 9177 10108 12236 15162 16606 18354 24909 30324 33212 36708 49818 58121 99636 116242 160591 174363 232484 321182 348726 481773 642364 697452 963546 1124137 1927092 2248274 3051229 3372411 3693593 4496548 6102458 6744822 7387186 9153687 11080779 12204916 13489644 14774372 18307374 21358603 22161558 25855151 36614748 42717206 44323116 51710302 57973351 64075809 70178267 77565453 85434412 103420604 115946702 128151618 140356534 155130906 173920053 210534801 231893404 256303236 280713068 310261812 347840106 405813457 421069602 491247869 695680212 811626914 842139204 982495738 1217440371 1333387073 1473743607 1623253828 1964991476 2434880742 2666774146 2947487214 4000161219 4869761484 5333548292 5894974428 8000322438 9333709511 16000644876 18667419022 28001128533 37334838044 56002257066 112004514132