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112013242310211 = 311237179443105173
BaseRepresentation
bin11001011110000000011101…
…100001001001111001000011
3112200121100202110010200122220
4121132000131201021321003
5104140211110012411321
61034122101221302123
732410455365016204
oct3136003541117103
9480540673120586
10112013242310211
1132766605117700
1210690b00264943
134a66a5a186a38
141d936813d35ab
15ce3ac50579c6
hex65e01d849e43

112013242310211 has 96 divisors (see below), whose sum is σ = 169925710913280. Its totient is φ = 65534137194240.

The previous prime is 112013242310149. The next prime is 112013242310227.

112013242310211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112013242310211 - 231 = 112011094826563 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112013240310211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1064985421 + ... + 1065090593.

It is an arithmetic number, because the mean of its divisors is an integer number (1770059488680).

Almost surely, 2112013242310211 is an apocalyptic number.

112013242310211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112013242310211 is a deficient number, since it is larger than the sum of its proper divisors (57912468603069).

112013242310211 is a wasteful number, since it uses less digits than its factorization.

112013242310211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105857 (or 105846 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 112013242310211 in words is "one hundred twelve trillion, thirteen billion, two hundred forty-two million, three hundred ten thousand, two hundred eleven".

Divisors: 1 3 11 33 37 111 121 179 363 407 443 537 1221 1329 1969 4477 4873 5907 6623 13431 14619 16391 19869 21659 49173 53603 64977 72853 79297 105173 160809 180301 218559 237891 315519 540903 801383 872267 1156903 1983311 2404149 2616801 2933989 3470709 3891401 5949933 8801967 9594937 11674203 12725933 18825967 28784811 32273879 38177799 42805411 46591639 56477901 96821637 128416233 139774917 207085637 355012669 470859521 512508029 621256911 696560779 1065038007 1412578563 1537524087 1723890643 2089682337 2277942007 5171671929 5637588319 6833826021 7662168569 8339903381 16912764957 18962797073 22986505707 25019710143 56888391219 84283854259 91738937191 208590767803 252851562777 275216811573 308576425097 625772303409 925729275291 1009128309101 3027384927303 3394340676067 10183022028201 37337747436737 112013242310211