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20002011010000 = 24549292153069
BaseRepresentation
bin1001000110001000101001…
…10000101101001111010000
32121211011200112112101202121
410203010110300231033100
510110203104304310000
6110312444053024024
74133045323230535
oct443042460551720
977734615471677
1020002011010000
116411894844678
1222b0635025014
13b21248b14596
144d2161380d8c
1524a4716c0b1a
hex123114c2d3d0

20002011010000 has 100 divisors (see below), whose sum is σ = 48479019326100. Its totient is φ = 7992188416000.

The previous prime is 20002011009943. The next prime is 20002011010013. The reversal of 20002011010000 is 1011020002.

It can be written as a sum of positive squares in 10 ways, for example, as 15638608066624 + 4363402943376 = 3954568^2 + 2088876^2 .

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

It is a super-2 number, since 2×200020110100002 (a number of 27 digits) contains 22 as substring.

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, 8213466 + ... + 10366534.

It is an arithmetic number, because the mean of its divisors is an integer number (484790193261).

Almost surely, 220002011010000 is an apocalyptic number.

20002011010000 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 20002011010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24239509663050).

20002011010000 is an abundant number, since it is smaller than the sum of its proper divisors (28477008316100).

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

20002011010000 is an equidigital number, since it uses as much as digits as its factorization.

20002011010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154026 (or 2154005 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 20002011010000 its reverse (1011020002), we get a palindrome (20003022030002).

The spelling of 20002011010000 in words is "twenty trillion, two billion, eleven million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 929 1000 1250 1858 2000 2500 3716 4645 5000 7432 9290 10000 14864 18580 23225 37160 46450 74320 92900 116125 185800 232250 371600 464500 580625 929000 1161250 1858000 2153069 2322500 4306138 4645000 8612276 9290000 10765345 17224552 21530690 34449104 43061380 53826725 86122760 107653450 172245520 215306900 269133625 430613800 538267250 861227600 1076534500 1345668125 2000201101 2153069000 2691336250 4000402202 4306138000 5382672500 8000804404 10001005505 10765345000 16001608808 20002011010 21530690000 32003217616 40004022020 50005027525 80008044040 100010055050 160016088080 200020110100 250025137625 400040220200 500050275250 800080440400 1000100550500 1250125688125 2000201101000 2500251376250 4000402202000 5000502752500 10001005505000 20002011010000