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221102012201200 = 245213197215835623
BaseRepresentation
bin110010010001011101010010…
…111001010111100011110000
31001222212010221101110202002021
4302101131102321113203300
5212440013410110414300
62102124510121401224
764400043656443654
oct6221352271274360
91058763841422067
10221102012201200
11644a4922851979
122096b074639214
13964aaa41a7980
143c8557469ca64
151a86586398d1a
hexc91752e578f0

221102012201200 has 120 divisors (see below), whose sum is σ = 574962792088608. Its totient is φ = 81223261271040.

The previous prime is 221102012201183. The next prime is 221102012201263. The reversal of 221102012201200 is 2102210201122.

It is a happy number.

221102012201200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106893412 + ... + 108942211.

Almost surely, 2221102012201200 is an apocalyptic number.

221102012201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102012201200 is an abundant number, since it is smaller than the sum of its proper divisors (353860779887408).

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

221102012201200 is a wasteful number, since it uses less digits than its factorization.

221102012201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215835851 (or 215835840 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221102012201200 its reverse (2102210201122), we get a palindrome (223204222402322).

The spelling of 221102012201200 in words is "two hundred twenty-one trillion, one hundred two billion, twelve million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 197 200 208 260 325 394 400 520 650 788 985 1040 1300 1576 1970 2561 2600 3152 3940 4925 5122 5200 7880 9850 10244 12805 15760 19700 20488 25610 39400 40976 51220 64025 78800 102440 128050 204880 256100 512200 1024400 215835623 431671246 863342492 1079178115 1726684984 2158356230 2805863099 3453369968 4316712460 5395890575 5611726198 8633424920 10791781150 11223452396 14029315495 17266849840 21583562300 22446904792 28058630990 42519617731 43167124600 44893809584 56117261980 70146577475 85039235462 86334249200 112234523960 140293154950 170078470924 212598088655 224469047920 280586309900 340156941848 425196177310 552755030503 561172619800 680313883696 850392354620 1062990443275 1105510061006 1122345239600 1700784709240 2125980886550 2211020122012 2763775152515 3401569418480 4251961773100 4422040244024 5527550305030 8503923546200 8844080488048 11055100610060 13818875762575 17007847092400 22110201220120 27637751525150 44220402440240 55275503050300 110551006100600 221102012201200