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221102000100120 = 23359832521743507
BaseRepresentation
bin110010010001011101010010…
…001011001101001100011000
31001222212010220112200221112010
4302101131102023031030120
5212440013344011200440
62102124505010145520
764400043451543566
oct6221352213151430
91058763815627463
10221102000100120
11644a4916a37187
122096b0705822a0
13964aaa182b979
143c85572c2ca36
151a865852a8580
hexc917522cd318

221102000100120 has 128 divisors (see below), whose sum is σ = 664245050826240. Its totient is φ = 58877110010880.

The previous prime is 221102000100109. The next prime is 221102000100127. The reversal of 221102000100120 is 21001000201122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221102000100096 and 221102000100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102000100127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297005407 + ... + 297748913.

It is an arithmetic number, because the mean of its divisors is an integer number (5189414459580).

Almost surely, 2221102000100120 is an apocalyptic number.

221102000100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102000100120 is an abundant number, since it is smaller than the sum of its proper divisors (443143050726120).

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

221102000100120 is a wasteful number, since it uses less digits than its factorization.

221102000100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747025 (or 747021 counting only the distinct ones).

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

Adding to 221102000100120 its reverse (21001000201122), we get a palindrome (242103000301242).

The spelling of 221102000100120 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 983 1966 2521 2949 3932 4915 5042 5898 7563 7864 9830 10084 11796 12605 14745 15126 19660 20168 23592 25210 29490 30252 37815 39320 50420 58980 60504 75630 100840 117960 151260 302520 743507 1487014 2230521 2478143 2974028 3717535 4461042 4956286 5948056 7434429 7435070 8922084 9912572 11152605 12390715 14868858 14870140 17844168 19825144 22305210 24781430 29737716 29740280 37172145 44610420 49562860 59475432 74344290 89220840 99125720 148688580 297377160 730867381 1461734762 1874381147 2192602143 2923469524 3654336905 3748762294 4385204286 5623143441 5846939048 7308673810 7497524588 8770408572 9371905735 10963010715 11246286882 14617347620 14995049176 17540817144 18743811470 21926021430 22492573764 28115717205 29234695240 37487622940 43852042860 44985147528 56231434410 74975245880 87704085720 112462868820 224925737640 1842516667501 3685033335002 5527550002503 7370066670004 9212583337505 11055100005006 14740133340008 18425166675010 22110200010012 27637750012515 36850333350020 44220400020024 55275500025030 73700666700040 110551000050060 221102000100120