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21202131122200 = 23527119811264033
BaseRepresentation
bin1001101001000100000010…
…11111100111100000011000
32210001220101222020211201001
410310202001133213200120
510234333431031402300
6113032042524034344
74315542400663120
oct464420137474030
983056358224631
1021202131122200
116834856309846
1224651469929b4
13baa4772652a2
1453428d813c80
1526b7b1bd516a
hex1348817e7818

21202131122200 has 96 divisors (see below), whose sum is σ = 56341838043360. Its totient is φ = 7268689612800.

The previous prime is 21202131122197. The next prime is 21202131122201. The reversal of 21202131122200 is 222113120212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202131122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16141384 + ... + 17405416.

It is an arithmetic number, because the mean of its divisors is an integer number (586894146285).

Almost surely, 221202131122200 is an apocalyptic number.

21202131122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202131122200 is an abundant number, since it is smaller than the sum of its proper divisors (35139706921160).

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

21202131122200 is a wasteful number, since it uses less digits than its factorization.

21202131122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276037 (or 1276028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 21202131122200 its reverse (222113120212), we get a palindrome (21424244242412).

The spelling of 21202131122200 in words is "twenty-one trillion, two hundred two billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 11981 23962 47924 59905 83867 95848 119810 167734 239620 299525 335468 419335 479240 599050 670936 838670 1198100 1264033 1677340 2096675 2396200 2528066 3354680 4193350 5056132 6320165 8386700 8848231 10112264 12640330 16773400 17696462 25280660 31600825 35392924 44241155 50561320 63201650 70785848 88482310 126403300 176964620 221205775 252806600 353929240 442411550 884823100 1769646200 15144379373 30288758746 60577517492 75721896865 106010655611 121155034984 151443793730 212021311222 302887587460 378609484325 424042622444 530053278055 605775174920 757218968650 848085244888 1060106556110 1514437937300 2120213112220 2650266390275 3028875874600 4240426224440 5300532780550 10601065561100 21202131122200