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220120112111000 = 23532350319026719
BaseRepresentation
bin110010000011001010110101…
…000101110001110110011000
31001212101021111002020000002212
4302003022311011301312120
5212322421442200023000
62100053441123014252
764236103402415153
oct6203126505616630
91055337432200085
10220120112111000
1164156462849122
122083090420a388
1395a9311a5113a
143c4dc2804cc9a
151a6ac68b73c35
hexc832b5171d98

220120112111000 has 128 divisors (see below), whose sum is σ = 538544459980800. Its totient is φ = 84052429436800.

The previous prime is 220120112110957. The next prime is 220120112111021. The reversal of 220120112111000 is 111211021022.

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, 2055641 + ... + 21082359.

It is an arithmetic number, because the mean of its divisors is an integer number (4207378593600).

Almost surely, 2220120112111000 is an apocalyptic number.

220120112111000 is a gapful number since it is divisible by the number (20) 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 220120112111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269272229990400).

220120112111000 is an abundant number, since it is smaller than the sum of its proper divisors (318424347869800).

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

220120112111000 is a wasteful number, since it uses less digits than its factorization.

220120112111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19027266 (or 19027252 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 220120112111000 its reverse (111211021022), we get a palindrome (220231323132022).

The spelling of 220120112111000 in words is "two hundred twenty trillion, one hundred twenty billion, one hundred twelve million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 503 575 920 1000 1006 1150 2012 2300 2515 2875 4024 4600 5030 5750 10060 11500 11569 12575 20120 23000 23138 25150 46276 50300 57845 62875 92552 100600 115690 125750 231380 251500 289225 462760 503000 578450 1156900 1446125 2313800 2892250 5784500 11569000 19026719 38053438 76106876 95133595 152213752 190267190 380534380 437614537 475667975 761068760 875229074 951335950 1750458148 1902671900 2188072685 2378339875 3500916296 3805343800 4376145370 4756679750 8752290740 9513359500 9570439657 10940363425 17504581480 19026719000 19140879314 21880726850 38281758628 43761453700 47852198285 54701817125 76563517256 87522907400 95704396570 109403634250 191408793140 218807268500 220120112111 239260991425 382817586280 437614537000 440240224222 478521982850 880480448444 957043965700 1100600560555 1196304957125 1760960896888 1914087931400 2201201121110 2392609914250 4402402242220 4785219828500 5503002802775 8804804484440 9570439657000 11006005605550 22012011211100 27515014013875 44024022422200 55030028027750 110060056055500 220120112111000