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112001300040 = 23357133334881
BaseRepresentation
bin110100001001111001…
…1000011011001001000
3101201002120012112220210
41220103303003121020
53313334313100130
6123241440321120
711043332225310
oct1502363033110
9351076175823
10112001300040
11435548a5493
12198590131a0
13a73c00ac06
1455c6cda440
152da7b655b0
hex1a13cc3648

112001300040 has 64 divisors (see below), whose sum is σ = 384004460160. Its totient is φ = 25600296960.

The previous prime is 112001300009. The next prime is 112001300077. The reversal of 112001300040 is 40003100211.

It is a happy number.

112001300040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112001299989 and 112001300025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66666601 + ... + 66668280.

It is an arithmetic number, because the mean of its divisors is an integer number (6000069690).

Almost surely, 2112001300040 is an apocalyptic number.

112001300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112001300040 is an abundant number, since it is smaller than the sum of its proper divisors (272003160120).

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

112001300040 is a wasteful number, since it uses less digits than its factorization.

112001300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133334902 (or 133334898 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 112001300040 its reverse (40003100211), we get a palindrome (152004400251).

The spelling of 112001300040 in words is "one hundred twelve billion, one million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 133334881 266669762 400004643 533339524 666674405 800009286 933344167 1066679048 1333348810 1600018572 1866688334 2000023215 2666697620 2800032501 3200037144 3733376668 4000046430 4666720835 5333395240 5600065002 7466753336 8000092860 9333441670 11200130004 14000162505 16000185720 18666883340 22400260008 28000325010 37333766680 56000650020 112001300040