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112010132312320 = 2851125213155599
BaseRepresentation
bin11001011101111101100100…
…001001011101000100000000
3112200121001201201010102120211
4121131331210021131010000
5104140133222332443240
61034120424443243504
732410315332331024
oct3135754411350400
9480531651112524
10112010132312320
1132765259657210
1210690392819594
134a66682a6b0b8
141d93468356384
15ce3991ed6bea
hex65df6425d100

112010132312320 has 144 divisors (see below), whose sum is σ = 292806306374400. Its totient is φ = 40714787635200.

The previous prime is 112010132312303. The next prime is 112010132312339. The reversal of 112010132312320 is 23213231010211.

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 = 112010132312291 and 112010132312300.

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, 33917881 + ... + 37073479.

It is an arithmetic number, because the mean of its divisors is an integer number (2033377127600).

Almost surely, 2112010132312320 is an apocalyptic number.

112010132312320 is a gapful number since it is divisible by the number (10) 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 112010132312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146403153187200).

112010132312320 is an abundant number, since it is smaller than the sum of its proper divisors (180796174062080).

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

112010132312320 is a wasteful number, since it uses less digits than its factorization.

112010132312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158152 (or 3158138 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 112010132312320 its reverse (23213231010211), we get a palindrome (135223363322531).

The spelling of 112010132312320 in words is "one hundred twelve trillion, ten billion, one hundred thirty-two million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2521 2816 3520 5042 7040 10084 12605 14080 20168 25210 27731 40336 50420 55462 80672 100840 110924 138655 161344 201680 221848 277310 322688 403360 443696 554620 645376 806720 887392 1109240 1613440 1774784 2218480 3155599 3226880 3549568 4436960 6311198 7099136 8873920 12622396 15777995 17747840 25244792 31555990 34711589 35495680 50489584 63111980 69423178 100979168 126223960 138846356 173557945 201958336 252447920 277692712 347115890 403916672 504895840 555385424 694231780 807833344 1009791680 1110770848 1388463560 2019583360 2221541696 2776927120 4039166720 4443083392 5553854240 7955265079 8886166784 11107708480 15910530158 22215416960 31821060316 39776325395 44430833920 63642120632 79552650790 87507915869 127284241264 159105301580 175015831738 254568482528 318210603160 350031663476 437539579345 509136965056 636421206320 700063326952 875079158690 1018273930112 1272842412640 1400126653904 1750158317380 2036547860224 2545684825280 2800253307808 3500316634760 5091369650560 5600506615616 7000633269520 10182739301120 11201013231232 14001266539040 22402026462464 28002533078080 56005066156160 112010132312320