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112330041032224 = 25231811738748497
BaseRepresentation
bin11001100010100111100000…
…001100010111111000100000
3112201201122110200211012211101
4121202213200030113320200
5104210403411001012344
61034523413005324144
732442402063513511
oct3142474014277040
9481648420735741
10112330041032224
11328789a27a7434
1210722393566654
134a8a8a6394b32
141da4b355bca08
15cebe673d09d4
hex6629e0317e20

112330041032224 has 96 divisors (see below), whose sum is σ = 232058050713216. Its totient is φ = 53422076252160.

The previous prime is 112330041032213. The next prime is 112330041032239. The reversal of 112330041032224 is 422230140033211.

It is a super-2 number, since 2×1123300410322242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112330041032192 and 112330041032201.

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, 2316202344 + ... + 2316250840.

It is an arithmetic number, because the mean of its divisors is an integer number (2417271361596).

Almost surely, 2112330041032224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112330041032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116029025356608).

112330041032224 is an abundant number, since it is smaller than the sum of its proper divisors (119728009680992).

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

112330041032224 is a wasteful number, since it uses less digits than its factorization.

112330041032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66098 (or 66090 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 112330041032224 its reverse (422230140033211), we get a palindrome (534560181065435).

The spelling of 112330041032224 in words is "one hundred twelve trillion, three hundred thirty billion, forty-one million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 181 184 362 368 724 736 1448 2896 4163 5792 8326 16652 17387 33304 34774 48497 66608 69548 96994 133216 139096 193988 278192 387976 399901 556384 775952 799802 1115431 1551904 1599604 2230862 3147047 3199208 4461724 6294094 6398416 8777957 8923448 12588188 12796832 17555914 17846896 25176376 35111828 35693792 50352752 70223656 72382081 100705504 140447312 144764162 201893011 280894624 289528324 403786022 579056648 807572044 843217339 1158113296 1615144088 1686434678 2316226592 3230288176 3372869356 6460576352 6745738712 13491477424 19393998797 26982954848 38787997594 77575995188 152622338359 155151990376 305244676718 310303980752 610489353436 620607961504 1220978706872 2441957413744 3510313782257 4883914827488 7020627564514 14041255129028 28082510258056 56165020516112 112330041032224