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20104404100 = 225211212892
BaseRepresentation
bin10010101110010100…
…001101110010000100
31220220002222112202021
4102232110031302010
5312133211412400
613122535052524
71311130421014
oct225624156204
956802875667
1020104404100
118587459400
123a90b11144
131b85200c01
14d8a101c44
157c9ee071a
hex4ae50dc84

20104404100 has 81 divisors (see below), whose sum is σ = 47990388271. Its totient is φ = 7305020800.

The previous prime is 20104404097. The next prime is 20104404149. The reversal of 20104404100 is 140440102.

The square root of 20104404100 is 141790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 747803716 + 19356600384 = 27346^2 + 139128^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15596256 + ... + 15597544.

Almost surely, 220104404100 is an apocalyptic number.

20104404100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20104404100 is the 141790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20104404100

20104404100 is an abundant number, since it is smaller than the sum of its proper divisors (27885984171).

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

20104404100 is a wasteful number, since it uses less digits than its factorization.

20104404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 20104404100 by its sum of digits (16), we get a square (321670465600 = 5671602).

Adding to 20104404100 its reverse (140440102), we get a palindrome (20244844202).

The spelling of 20104404100 in words is "twenty billion, one hundred four million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1289 2420 2578 3025 5156 6050 6445 12100 12890 14179 25780 28358 32225 56716 64450 70895 128900 141790 155969 283580 311938 354475 623876 708950 779845 1417900 1559690 1661521 3119380 3323042 3899225 6646084 7798450 8307605 15596900 16615210 18276731 33230420 36553462 41538025 73106924 83076050 91383655 166152100 182767310 201044041 365534620 402088082 456918275 804176164 913836550 1005220205 1827673100 2010440410 4020880820 5026101025 10052202050 20104404100