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112601516325 = 3523727383181
BaseRepresentation
bin110100011011110010…
…0101100100100100101
3101202122101121200212120
41220313210230210211
53321101442010300
6123421201140153
711064241045104
oct1506744544445
9352571550776
10112601516325
1143832690901
12199a602a659
13a80648108c
1456428dc03b
152de06c73a0
hex1a3792c925

112601516325 has 144 divisors (see below), whose sum is σ = 197377742016. Its totient is φ = 56621721600.

The previous prime is 112601516239. The next prime is 112601516333. The reversal of 112601516325 is 523615106211.

It is not a de Polignac number, because 112601516325 - 213 = 112601508133 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 622107735 + ... + 622107915.

It is an arithmetic number, because the mean of its divisors is an integer number (1370678764).

Almost surely, 2112601516325 is an apocalyptic number.

112601516325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112601516325 is a deficient number, since it is larger than the sum of its proper divisors (84776225691).

112601516325 is a wasteful number, since it uses less digits than its factorization.

112601516325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 112601516325 in words is "one hundred twelve billion, six hundred one million, five hundred sixteen thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 37 73 75 83 111 181 185 219 249 365 415 543 555 905 925 1095 1245 1369 1825 2075 2701 2715 2775 3071 4107 4525 5475 6059 6225 6697 6845 8103 9213 13213 13505 13575 15023 15355 18177 20091 20535 30295 33485 34225 39639 40515 45069 46065 66065 67525 75115 76775 90885 99937 100455 102675 113627 151475 167425 198195 202575 224183 225345 230325 247789 299811 330325 340881 375575 454425 488881 499685 502275 555851 568135 672549 743367 990975 1096679 1120915 1126725 1238945 1466643 1499055 1667553 1704405 2444405 2498425 2779255 2840675 3290037 3362745 3716835 5483395 5604575 6194725 7333215 7495275 8294771 8337765 8522025 12222025 13896275 16450185 16813725 18088597 18584175 20566487 24884313 27416975 36666075 40577123 41473855 41688825 54265791 61699461 82250925 90442985 102832435 121731369 124421565 202885615 207369275 271328955 308497305 452214925 514162175 608656845 622107825 1014428075 1356644775 1501353551 1542486525 3043284225 4504060653 7506767755 22520303265 37533838775 112601516325