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201001202201100 = 223527671428579973
BaseRepresentation
bin101101101100111100111101…
…010000011011001000001100
3222100200112020101012121221010
4231230330331100123020030
5202321200430230413400
61551254402203205220
760223600111520160
oct5554747520331014
9870615211177833
10201001202201100
1159055149608774
121a663467b16810
13882044163ca02
14378c71d9b0ca0
151838781128450
hexb6cf3d41b20c

201001202201100 has 144 divisors (see below), whose sum is σ = 674564035083008. Its totient is φ = 45257413512960.

The previous prime is 201001202201087. The next prime is 201001202201141. The reversal of 201001202201100 is 1102202100102.

201001202201100 is digitally balanced in base 2 and base 3, because in such bases 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 714149287 + ... + 714430686.

Almost surely, 2201001202201100 is an apocalyptic number.

201001202201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001202201100 is an abundant number, since it is smaller than the sum of its proper divisors (473562832881908).

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

201001202201100 is a wasteful number, since it uses less digits than its factorization.

201001202201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428580064 (or 1428580057 counting only the distinct ones).

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

Adding to 201001202201100 its reverse (1102202100102), we get a palindrome (202103404301202).

The spelling of 201001202201100 in words is "two hundred one trillion, one billion, two hundred two million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 67 70 75 84 100 105 134 140 150 175 201 210 268 300 335 350 402 420 469 525 670 700 804 938 1005 1050 1340 1407 1675 1876 2010 2100 2345 2814 3350 4020 4690 5025 5628 6700 7035 9380 10050 11725 14070 20100 23450 28140 35175 46900 70350 140700 1428579973 2857159946 4285739919 5714319892 7142899865 8571479838 10000059811 14285799730 17142959676 20000119622 21428699595 28571599460 30000179433 35714499325 40000239244 42857399190 50000299055 60000358866 71428998650 85714798380 95714858191 100000598110 107143497975 120000717732 142857997300 150000897165 191429716382 200001196220 214286995950 250001495275 287144574573 300001794330 382859432764 428573991900 478574290955 500002990550 574289149146 600003588660 670004007337 750004485825 957148581910 1000005981100 1148578298292 1340008014674 1435722872865 1500008971650 1914297163820 2010012022011 2392871454775 2680016029348 2871445745730 3000017943300 3350020036685 4020024044022 4785742909550 5742891491460 6700040073370 7178614364325 8040048088044 9571485819100 10050060110055 13400080146740 14357228728650 16750100183425 20100120220110 28714457457300 33500200366850 40200240440220 50250300550275 67000400733700 100500601100550 201001202201100