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112220210021000 = 23534721319111997
BaseRepresentation
bin11001100001000001001101…
…110000010100001010001000
3112201100010222101101202110212
4121201001031300110022020
5104202103442231133000
61034401130333500252
732431433263360634
oct3141011560241210
9481303871352425
10112220210021000
1132836361a89074
1210705041341688
134a80421bb4bb3
141d9d6b6a27dc4
15ce918a068c35
hex66104dc14288

112220210021000 has 128 divisors (see below), whose sum is σ = 268197399475200. Its totient is φ = 43930565395200.

The previous prime is 112220210020991. The next prime is 112220210021011. The reversal of 112220210021000 is 120012022211.

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, 1001937002 + ... + 1002048998.

It is an arithmetic number, because the mean of its divisors is an integer number (2095292183400).

Almost surely, 2112220210021000 is an apocalyptic number.

112220210021000 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 112220210021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134098699737600).

112220210021000 is an abundant number, since it is smaller than the sum of its proper divisors (155977189454200).

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

112220210021000 is a wasteful number, since it uses less digits than its factorization.

112220210021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133384 (or 133370 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112220210021000 its reverse (120012022211), we get a palindrome (112340222043211).

The spelling of 112220210021000 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred ten million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2350 4700 5875 9400 11750 21319 23500 42638 47000 85276 106595 111997 170552 213190 223994 426380 447988 532975 559985 852760 895976 1001993 1065950 1119970 2003986 2131900 2239940 2664875 2799925 4007972 4263800 4479880 5009965 5263859 5329750 5599850 8015944 10019930 10527718 10659500 11199700 13999625 20039860 21055436 21319000 22399400 25049825 26319295 27999250 40079720 42110872 50099650 52638590 55998500 100199300 105277180 111997000 125249125 131596475 200398600 210554360 250498250 263192950 500996500 526385900 657982375 1001993000 1052771800 1315964750 2387664043 2631929500 4775328086 5263859000 9550656172 11938320215 19101312344 23876640430 47753280860 59691601075 95506561720 112220210021 119383202150 224440420042 238766404300 298458005375 448880840084 477532808600 561101050105 596916010750 897761680168 1122202100210 1193832021500 2244404200420 2387664043000 2805505250525 4488808400840 5611010501050 11222021002100 14027526252625 22444042004200 28055052505250 56110105010500 112220210021000