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112122010011011 = 721113210941926951
BaseRepresentation
bin11001011111100101110000…
…100101000000010110000011
3112200222202111122202101022212
4121133211300211000112003
5104144001334030323021
61034244050150452335
732421355634145500
oct3137456045002603
9480882448671285
10112122010011011
11327a874a700120
12106a9bb63640ab
134a740a2290b00
141d98a3ca7a4a7
15ce683dd8485b
hex65f970940583

112122010011011 has 144 divisors (see below), whose sum is σ = 155861971372800. Its totient is φ = 79713650016000.

The previous prime is 112122010010987. The next prime is 112122010011049. The reversal of 112122010011011 is 110110010221211.

It is not a de Polignac number, because 112122010011011 - 210 = 112122010009987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112122010019011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4160203586 + ... + 4160230536.

It is an arithmetic number, because the mean of its divisors is an integer number (1082374801200).

Almost surely, 2112122010011011 is an apocalyptic number.

112122010011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112122010011011 is a deficient number, since it is larger than the sum of its proper divisors (43739961361789).

112122010011011 is a wasteful number, since it uses less digits than its factorization.

112122010011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27530 (or 27510 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112122010011011 its reverse (110110010221211), we get a palindrome (222232020232222).

The spelling of 112122010011011 in words is "one hundred twelve trillion, one hundred twenty-two billion, ten million, eleven thousand, eleven".

Divisors: 1 7 11 13 49 77 91 109 143 169 419 539 637 763 1001 1183 1199 1417 1859 2933 4609 5341 5447 7007 8281 8393 9919 13013 15587 18421 20531 26951 32263 38129 45671 58751 59917 69433 70811 91091 109109 128947 188657 202631 225841 266903 296461 319697 350363 419419 495677 502381 593723 763763 778921 902629 1320599 1418417 2075227 2237879 2452541 2935933 2937659 3469739 3516667 3853993 4156061 4554719 5452447 6530953 7718399 9928919 11292469 14526589 17167787 20563613 24616669 26977951 29092427 31883033 32314249 38167129 38189567 45716671 50101909 54028793 79047283 84902389 124217159 143945291 146802097 188845657 223181231 226199743 267326969 320016697 350713363 378201551 420085237 496464371 553330981 594316723 869520113 1027614679 1230879121 1583398201 1614823067 1871288783 1908427261 2454993541 2940596659 3475250597 4160217061 5461108081 6086640791 7193302753 8616153847 11303761469 13358990827 13539670331 16001428573 20584176613 20992699871 24326754179 38227756567 60313076929 79126330283 93512935789 94777692317 112010000011 146948899097 176015714303 208018571449 267594295969 663443846219 784070000077 1028642293679 1232110000121 1456130000143 2288204285939 8624770000847 10192910001001 16017430001573 112122010011011