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112002101011000 = 23531759399110917
BaseRepresentation
bin11001011101110110000101…
…011100011110001000111000
3112200120021222222211001100101
4121131312011130132020320
5104140020300324323000
61034113015504445144
732406612321362254
oct3135660534361070
9480507888731311
10112002101011000
113276190814a702
121068a9110197b4
134a659a2bb88b5
141d92d05861264
15ce3671da6e6a
hex65dd8571e238

112002101011000 has 128 divisors (see below), whose sum is σ = 277508849904000. Its totient is φ = 42164406835200.

The previous prime is 112002101010941. The next prime is 112002101011091. The reversal of 112002101011000 is 110101200211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009727542 + ... + 1009838458.

It is an arithmetic number, because the mean of its divisors is an integer number (2168037889875).

Almost surely, 2112002101011000 is an apocalyptic number.

112002101011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112002101011000 is an abundant number, since it is smaller than the sum of its proper divisors (165506748893000).

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

112002101011000 is a wasteful number, since it uses less digits than its factorization.

112002101011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170354 (or 170340 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112002101011000 its reverse (110101200211), we get a palindrome (112112202211211).

The spelling of 112002101011000 in words is "one hundred twelve trillion, two billion, one hundred one million, eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 59399 110917 118798 221834 237596 296995 443668 475192 554585 593990 887336 1009783 1109170 1187980 1484975 1885589 2019566 2218340 2375960 2772925 2969950 3771178 4039132 4436680 5048915 5545850 5939900 7424875 7542356 8078264 9427945 10097830 11091700 11879800 13864625 14849750 15084712 18855890 20195660 22183400 25244575 27729250 29699500 37711780 40391320 47139725 50489150 55458500 59399000 75423560 94279450 100978300 110917000 126222875 188558900 201956600 235698625 252445750 377117800 471397250 504891500 942794500 1009783000 1885589000 6588358883 13176717766 26353435532 32941794415 52706871064 65883588830 112002101011 131767177660 164708972075 224004202022 263534355320 329417944150 448008404044 560010505055 658835888300 823544860375 896016808088 1120021010110 1317671776600 1647089720750 2240042020220 2800052525275 3294179441500 4480084040440 5600105050550 6588358883000 11200210101100 14000262626375 22400420202200 28000525252750 56001050505500 112002101011000