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20441121500 = 22531910312087
BaseRepresentation
bin10011000010011000…
…101100001011011100
31221202120120120012002
4103002120230023130
5313330411342000
613220204101432
71322356444262
oct230230541334
957676516162
1020441121500
11873a531148
123b65834878
131c09bb6387
14dbcb12432
157e98538d5
hex4c262c2dc

20441121500 has 96 divisors (see below), whose sum is σ = 47061181440. Its totient is φ = 7734888000.

The previous prime is 20441121473. The next prime is 20441121541. The reversal of 20441121500 is 512114402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9793457 + ... + 9795543.

It is an arithmetic number, because the mean of its divisors is an integer number (490220640).

Almost surely, 220441121500 is an apocalyptic number.

20441121500 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 20441121500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23530590720).

20441121500 is an abundant number, since it is smaller than the sum of its proper divisors (26620059940).

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

20441121500 is a wasteful number, since it uses less digits than its factorization.

20441121500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3156 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 20441121500 its reverse (512114402), we get a palindrome (20953235902).

The spelling of 20441121500 in words is "twenty billion, four hundred forty-one million, one hundred twenty-one thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 475 500 950 1031 1900 2062 2087 2375 4124 4174 4750 5155 8348 9500 10310 10435 19589 20620 20870 25775 39178 39653 41740 51550 52175 78356 79306 97945 103100 104350 128875 158612 195890 198265 208700 257750 260875 391780 396530 489725 515500 521750 793060 979450 991325 1043500 1958900 1982650 2151697 2448625 3965300 4303394 4897250 4956625 8606788 9794500 9913250 10758485 19826500 21516970 40882243 43033940 53792425 81764486 107584850 163528972 204411215 215169700 268962125 408822430 537924250 817644860 1022056075 1075848500 2044112150 4088224300 5110280375 10220560750 20441121500