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112511014242 = 231110717419151
BaseRepresentation
bin110100011001000101…
…1011101010101100010
3101202102002022201100120
41220302023131111202
53320410304423432
6123404205301110
711062061561454
oct1506213352542
9352362281316
10112511014242
11437965972a0
121997b864796
13a7c07b4753
1456348a02d4
152dd779bc2c
hex1a322dd562

112511014242 has 64 divisors (see below), whose sum is σ = 247942176768. Its totient is φ = 33752520000.

The previous prime is 112511014229. The next prime is 112511014247. The reversal of 112511014242 is 242410115211.

It is a super-3 number, since 3×1125110142423 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112511014247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12290367 + ... + 12299517.

It is an arithmetic number, because the mean of its divisors is an integer number (3874096512).

Almost surely, 2112511014242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112511014242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123971088384).

112511014242 is an abundant number, since it is smaller than the sum of its proper divisors (135431162526).

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

112511014242 is a wasteful number, since it uses less digits than its factorization.

112511014242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11015.

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 112511014242 its reverse (242410115211), we get a palindrome (354921129453).

The spelling of 112511014242 in words is "one hundred twelve billion, five hundred eleven million, fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 107 214 321 642 1177 1741 2354 3482 3531 5223 7062 9151 10446 18302 19151 27453 38302 54906 57453 100661 114906 186287 201322 301983 372574 558861 603966 979157 1117722 1958314 2049157 2937471 4098314 5874942 6147471 10770727 12294942 15931891 21541454 31863782 32312181 47795673 64624362 95591346 175250801 350501602 525752403 1051504806 1704712337 3409424674 5114137011 10228274022 18751835707 37503671414 56255507121 112511014242