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111430004224 = 297116594289
BaseRepresentation
bin110011111000110111…
…1101110111000000000
3101122121202012201101111
41213301233232320000
53311202040113344
6123105031413104
711023224256660
oct1476157567000
9348552181344
10111430004224
1143291372490
1219719824194
13a67a852556
1455710a61a0
152d72917834
hex19f1beee00

111430004224 has 160 divisors (see below), whose sum is σ = 278066131200. Its totient is φ = 43338301440.

The previous prime is 111430004141. The next prime is 111430004233. The reversal of 111430004224 is 422400034111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 111430004195 and 111430004204.

It is a congruent number.

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, 25978272 + ... + 25982560.

It is an arithmetic number, because the mean of its divisors is an integer number (1737913320).

Almost surely, 2111430004224 is an apocalyptic number.

111430004224 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 111430004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139033065600).

111430004224 is an abundant number, since it is smaller than the sum of its proper divisors (166636126976).

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

111430004224 is an equidigital number, since it uses as much as digits as its factorization.

111430004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 111430004224 its reverse (422400034111), we get a palindrome (533830038335).

The spelling of 111430004224 in words is "one hundred eleven billion, four hundred thirty million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 659 704 896 1232 1318 1408 1792 2464 2636 2816 3584 4289 4613 4928 5272 5632 7249 8578 9226 9856 10544 14498 17156 18452 19712 21088 28996 30023 34312 36904 39424 42176 47179 50743 57992 60046 68624 73808 84352 94358 101486 115984 120092 137248 147616 168704 188716 202972 231968 240184 274496 295232 330253 337408 377432 405944 463936 480368 548992 590464 660506 754864 811888 927872 960736 1097984 1180928 1321012 1509728 1623776 1855744 1921472 2195968 2361856 2642024 2826451 3019456 3247552 3711488 3842944 5284048 5652902 6038912 6495104 7685888 10568096 11305804 12077824 12990208 15371776 19785157 21136192 22611608 24155648 25980416 31090961 39570314 42272384 45223216 62181922 79140628 84544768 90446432 124363844 158281256 169089536 180892864 217636727 248727688 316562512 361785728 435273454 497455376 633125024 723571456 870546908 994910752 1266250048 1447142912 1741093816 1989821504 2532500096 3482187632 3979643008 5065000192 6964375264 7959286016 10130000384 13928750528 15918572032 27857501056 55715002112 111430004224