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112124865222432 = 2533592199561857
BaseRepresentation
bin11001011111101000011010…
…110000110001011100100000
3112201000000212122100011002000
4121133220122300301130200
5104144023210444104212
61034245241343524000
732421516454065156
oct3137503260613440
9481000778304060
10112124865222432
11327a9985368787
12106aa6725b9600
134a7443897c51a
141d98c2dd533d6
15ce69598781dc
hex65fa1ac31720

112124865222432 has 96 divisors (see below), whose sum is σ = 332573752929600. Its totient is φ = 36741481242624.

The previous prime is 112124865222421. The next prime is 112124865222437. The reversal of 112124865222432 is 234222568421211.

It is a happy number.

112124865222432 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 2 + 4 + 86 + 522 + 2 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1121248652224322 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112124865222437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1099729953 + ... + 1099831904.

It is an arithmetic number, because the mean of its divisors is an integer number (3464309926350).

Almost surely, 2112124865222432 is an apocalyptic number.

112124865222432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112124865222432 is an abundant number, since it is smaller than the sum of its proper divisors (220448887707168).

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

112124865222432 is a wasteful number, since it uses less digits than its factorization.

112124865222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199561935 (or 2199561921 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 112124865222432 in words is "one hundred twelve trillion, one hundred twenty-four billion, eight hundred sixty-five million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 96 108 118 144 177 216 236 288 354 432 472 531 708 864 944 1062 1416 1593 1888 2124 2832 3186 4248 5664 6372 8496 12744 16992 25488 50976 2199561857 4399123714 6598685571 8798247428 13197371142 17596494856 19796056713 26394742284 35192989712 39592113426 52789484568 59388170139 70385979424 79184226852 105578969136 118776340278 129774149563 158368453704 211157938272 237552680556 259548299126 316736907408 389322448689 475105361112 519096598252 633473814816 778644897378 950210722224 1038193196504 1167967346067 1557289794756 1900421444448 2076386393008 2335934692134 3114579589512 3503902038201 4152772786016 4671869384268 6229159179024 7007804076402 9343738768536 12458318358048 14015608152804 18687477537072 28031216305608 37374955074144 56062432611216 112124865222432