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221102121021000 = 23353504411461127
BaseRepresentation
bin110010010001011101011001…
…011000011110111001001000
31001222212011012222020100210020
4302101131121120132321020
5212440014120440133000
62102124525010020440
764400046450421602
oct6221353130367110
91058764188210706
10221102121021000
11644a497921789a
122096b0a4b77720
13964aac08b8a9b
143c85584d08172
151a86590be1ba0
hexc9175961ee48

221102121021000 has 128 divisors (see below), whose sum is σ = 689852765871360. Its totient is φ = 58959356352000.

The previous prime is 221102121020971. The next prime is 221102121021017. The reversal of 221102121021000 is 120121201122.

It is a super-2 number, since 2×2211021210210002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 150592437 + ... + 152053563.

It is an arithmetic number, because the mean of its divisors is an integer number (5389474733370).

Almost surely, 2221102121021000 is an apocalyptic number.

221102121021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102121021000 is an abundant number, since it is smaller than the sum of its proper divisors (468750644850360).

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

221102121021000 is a wasteful number, since it uses less digits than its factorization.

221102121021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511592 (or 1511578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221102121021000 its reverse (120121201122), we get a palindrome (221222242222122).

The spelling of 221102121021000 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty-one million, twenty-one 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 50441 100882 151323 201764 252205 302646 403528 504410 605292 756615 1008820 1210584 1261025 1461127 1513230 2017640 2522050 2922254 3026460 3783075 4383381 5044100 5844508 6052920 6305125 7305635 7566150 8766762 10088200 11689016 12610250 14611270 15132300 17533524 18915375 21916905 25220500 29222540 30264600 35067048 36528175 37830750 43833810 50441000 58445080 73056350 75661500 87667620 109584525 146112700 151323000 175335240 182640875 219169050 292225400 365281750 438338100 547922625 730563500 876676200 1095845250 1461127000 2191690500 4383381000 73700707007 147401414014 221102121021 294802828028 368503535035 442204242042 589605656056 737007070070 884408484084 1105510605105 1474014140140 1768816968168 1842517675175 2211021210210 2948028280280 3685035350350 4422042420420 5527553025525 7370070700700 8844084840840 9212588375875 11055106051050 14740141401400 18425176751750 22110212102100 27637765127625 36850353503500 44220424204200 55275530255250 73700707007000 110551060510500 221102121021000