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201212011100200 = 23525215413356737
BaseRepresentation
bin101101110000000001010010…
…011100100011100000101000
3222101102200101000100021111211
4231300001102130203200220
5202333124144320201300
61551535304413402504
760245042131555432
oct5560012234434050
9871380330307454
10201212011100200
1159126597752831
121a69829b499434
1388372990c6969
1437989db419652
15183debd48e4ba
hexb70052723828

201212011100200 has 96 divisors (see below), whose sum is σ = 468803753802360. Its totient is φ = 80315257651200.

The previous prime is 201212011100183. The next prime is 201212011100209. The reversal of 201212011100200 is 2001110212102.

It can be written as a sum of positive squares in 12 ways, for example, as 19666191576964 + 181545819523236 = 4434658^2 + 13473894^2 .

It is not an unprimeable number, because it can be changed into a prime (201212011100209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563856232 + ... + 564212968.

Almost surely, 2201212011100200 is an apocalyptic number.

201212011100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201212011100200 is an abundant number, since it is smaller than the sum of its proper divisors (267591742702160).

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

201212011100200 is a wasteful number, since it uses less digits than its factorization.

201212011100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362687 (or 362678 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201212011100200 its reverse (2001110212102), we get a palindrome (203213121312302).

The spelling of 201212011100200 in words is "two hundred one trillion, two hundred twelve billion, eleven million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 521 1042 2084 2605 4168 5210 5413 10420 10826 13025 20840 21652 26050 27065 43304 52100 54130 104200 108260 135325 216520 270650 356737 541300 713474 1082600 1426948 1783685 2820173 2853896 3567370 5640346 7134740 8918425 11280692 14100865 14269480 17836850 22561384 28201730 35673700 56403460 70504325 71347400 112806920 141008650 185859977 282017300 371719954 564034600 743439908 929299885 1486879816 1858599770 1931017381 3717199540 3862034762 4646499425 7434399080 7724069524 9292998850 9655086905 15448139048 18585997700 19310173810 37171995400 38620347620 48275434525 77240695240 96550869050 193101738100 386203476200 1006060055501 2012120111002 4024240222004 5030300277505 8048480444008 10060600555010 20121201110020 25151501387525 40242402220040 50303002775050 100606005550100 201212011100200