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21211032130000 = 24546133460201
BaseRepresentation
bin1001101001010100101000…
…00010010001000111010000
32210002202101022001212221121
410310222110002101013100
510240010143211130000
6113040114051332024
74316306102210146
oct464522402210720
983082338055847
1021211032130000
116838603737739
122466a0b8b1014
13bab2653656cb
14534895a1b596
1526bb3335ab1a
hex134a940911d0

21211032130000 has 100 divisors (see below), whose sum is σ = 51437819681908. Its totient is φ = 8470569600000.

The previous prime is 21211032129977. The next prime is 21211032130021. The reversal of 21211032130000 is 3123011212.

It can be written as a sum of positive squares in 10 ways, for example, as 18948992065936 + 2262040064064 = 4353044^2 + 1504008^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 19 ways as a sum of consecutive naturals, for example, 4399900 + ... + 7860100.

Almost surely, 221211032130000 is an apocalyptic number.

21211032130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21211032130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25718909840954).

21211032130000 is an abundant number, since it is smaller than the sum of its proper divisors (30226787551908).

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

21211032130000 is an equidigital number, since it uses as much as digits as its factorization.

21211032130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460842 (or 3460821 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21211032130000 its reverse (3123011212), we get a palindrome (21214155141212).

The spelling of 21211032130000 in words is "twenty-one trillion, two hundred eleven billion, thirty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 613 625 1000 1226 1250 2000 2452 2500 3065 4904 5000 6130 9808 10000 12260 15325 24520 30650 49040 61300 76625 122600 153250 245200 306500 383125 613000 766250 1226000 1532500 3065000 3460201 6130000 6920402 13840804 17301005 27681608 34602010 55363216 69204020 86505025 138408040 173010050 276816080 346020100 432525125 692040200 865050250 1384080400 1730100500 2121103213 2162625625 3460201000 4242206426 4325251250 6920402000 8484412852 8650502500 10605516065 16968825704 17301005000 21211032130 33937651408 34602010000 42422064260 53027580325 84844128520 106055160650 169688257040 212110321300 265137901625 424220642600 530275803250 848441285200 1060551606500 1325689508125 2121103213000 2651379016250 4242206426000 5302758032500 10605516065000 21211032130000