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221020102112000 = 285313152724261
BaseRepresentation
bin110010010000010001000000…
…101011001011001100000000
31001222120022111221012002021212
4302100101000223023030000
5212432143132120041000
62102023122212105252
764361114112252122
oct6220210053131400
91058508457162255
10221020102112000
116447310a729584
1220957215005228
13964314c418c79
143c81603d91212
151a84390377c35
hexc90440acb300

221020102112000 has 144 divisors (see below), whose sum is σ = 554791679586144. Its totient is φ = 87733168640000.

The previous prime is 221020102111981. The next prime is 221020102112093. The reversal of 221020102112000 is 211201020122.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22170131 + ... + 30554130.

It is an arithmetic number, because the mean of its divisors is an integer number (3852719997126).

Almost surely, 2221020102112000 is an apocalyptic number.

221020102112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020102112000 is an abundant number, since it is smaller than the sum of its proper divisors (333771577474144).

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

221020102112000 is an equidigital number, since it uses as much as digits as its factorization.

221020102112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52724423 (or 52724399 counting only the distinct ones).

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

Adding to 221020102112000 its reverse (211201020122), we get a palindrome (221231303132122).

The spelling of 221020102112000 in words is "two hundred twenty-one trillion, twenty billion, one hundred two million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 131 160 200 250 256 262 320 400 500 524 640 655 800 1000 1048 1280 1310 1600 2000 2096 2620 3200 3275 4000 4192 5240 6400 6550 8000 8384 10480 13100 16000 16375 16768 20960 26200 32000 32750 33536 41920 52400 65500 83840 104800 131000 167680 209600 262000 419200 524000 838400 1048000 2096000 4192000 52724261 105448522 210897044 263621305 421794088 527242610 843588176 1054485220 1318106525 1687176352 2108970440 2636213050 3374352704 4217940880 5272426100 6590532625 6748705408 6906878191 8435881760 10544852200 13181065250 13497410816 13813756382 16871763520 21089704400 26362130500 27627512764 33743527040 34534390955 42179408800 52724261000 55255025528 67487054080 69068781910 84358817600 105448522000 110510051056 138137563820 168717635200 172671954775 210897044000 221020102112 276275127640 337435270400 345343909550 421794088000 442040204224 552550255280 690687819100 843588176000 863359773875 884080408448 1105100510560 1381375638200 1687176352000 1726719547750 1768160816896 2210201021120 2762751276400 3453439095500 4420402042240 5525502552800 6906878191000 8840804084480 11051005105600 13813756382000 22102010211200 27627512764000 44204020422400 55255025528000 110510051056000 221020102112000