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112414243411041 = 311133767731447987
BaseRepresentation
bin11001100011110101111011…
…000010111101010001100001
3112202000200210220110020211020
4121203311323002331101201
5104213243332303123131
61035030220202440053
732451442514104425
oct3143657302752141
9482020726406736
10112414243411041
1132900681854960
1210736772803029
134a95805029320
141da8c4250cb85
15cee24479d996
hex663d7b0bd461

112414243411041 has 128 divisors (see below), whose sum is σ = 186062334130176. Its totient is φ = 59450366638080.

The previous prime is 112414243411009. The next prime is 112414243411069. The reversal of 112414243411041 is 140114342414211.

It is a happy number.

It is not a de Polignac number, because 112414243411041 - 25 = 112414243411009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112414243410993 and 112414243411011.

It is not an unprimeable number, because it can be changed into a prime (112414243411541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76910850 + ... + 78358836.

It is an arithmetic number, because the mean of its divisors is an integer number (1453611985392).

Almost surely, 2112414243411041 is an apocalyptic number.

112414243411041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112414243411041 is a deficient number, since it is larger than the sum of its proper divisors (73648090719135).

112414243411041 is a wasteful number, since it uses less digits than its factorization.

112414243411041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448191.

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 112414243411041 its reverse (140114342414211), we get a palindrome (252528585825252).

The spelling of 112414243411041 in words is "one hundred twelve trillion, four hundred fourteen billion, two hundred forty-three million, four hundred eleven thousand, forty-one".

Divisors: 1 3 11 13 33 37 39 67 73 111 143 201 219 407 429 481 737 803 871 949 1221 1443 2211 2409 2479 2613 2701 2847 4891 5291 7437 8103 9581 10439 14673 15873 27269 28743 29711 31317 32227 35113 53801 63583 81807 89133 96681 105339 161403 180967 190749 354497 386243 542901 699413 1063491 1158729 1447987 1990637 2098239 2352571 4343961 5971911 7057713 15927857 18823831 25878281 47783571 53575519 56471493 77634843 97015129 105703051 160726557 207062141 291045387 317109153 589330709 621186423 696481747 1067166419 1162733561 1261196677 1374139663 1767992127 2089445241 3201499257 3488200683 3589559773 3783590031 3911012887 4122418989 7082104417 7661299217 10768679319 11733038661 13873163447 15115536293 21246313251 22983897651 39485157503 41619490341 43021141757 45346608879 46664277049 50843167531 77903148587 92067357421 118455472509 129063425271 139992831147 152529502593 233709445761 262037863429 276202072263 513307047539 559274842841 786113590287 1012740931631 1539921142617 1677824528523 2882416497719 3038222794893 3406492224577 8647249493157 10219476673731 37471414470347 112414243411041