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220102002111000 = 23353313792338103
BaseRepresentation
bin110010000010111001111101…
…101001100111001000011000
31001212022112201222001200110010
4302002321331221213020120
5212322122400020023000
62100041244110521520
764234562540101302
oct6202717551471030
91055275658050403
10220102002111000
116414980a165079
12208292ab2062a0
1395a76b6ab84c9
143c4cdcab8a972
151a6a558cdcd50
hexc82e7da67218

220102002111000 has 128 divisors (see below), whose sum is σ = 686740424947200. Its totient is φ = 58691971644800.

The previous prime is 220102002110959. The next prime is 220102002111029. The reversal of 220102002111000 is 111200201022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92967949 + ... + 95306051.

It is an arithmetic number, because the mean of its divisors is an integer number (5365159569900).

Almost surely, 2220102002111000 is an apocalyptic number.

220102002111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102002111000 is an abundant number, since it is smaller than the sum of its proper divisors (466638422836200).

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

220102002111000 is a wasteful number, since it uses less digits than its factorization.

220102002111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369506 (or 2369492 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220102002111000 its reverse (111200201022), we get a palindrome (220213202312022).

The spelling of 220102002111000 in words is "two hundred twenty trillion, one hundred two billion, two million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 31379 62758 94137 125516 156895 188274 251032 313790 376548 470685 627580 753096 784475 941370 1255160 1568950 1882740 2338103 2353425 3137900 3765480 3922375 4676206 4706850 6275800 7014309 7844750 9352412 9413700 11690515 11767125 14028618 15689500 18704824 18827400 23381030 23534250 28057236 31379000 35071545 46762060 47068500 56114472 58452575 70143090 93524120 94137000 116905150 140286180 175357725 233810300 280572360 292262875 350715450 467620600 584525750 701430900 876788625 1169051500 1402861800 1753577250 2338103000 3507154500 7014309000 73367334037 146734668074 220102002111 293469336148 366836670185 440204004222 586938672296 733673340370 880408008444 1100510010555 1467346680740 1760816016888 1834183350925 2201020021110 2934693361480 3668366701850 4402040042220 5502550052775 7336733403700 8804080084440 9170916754625 11005100105550 14673466807400 18341833509250 22010200211100 27512750263875 36683667018500 44020400422200 55025500527750 73367334037000 110051001055500 220102002111000