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20441243100 = 223521923155921
BaseRepresentation
bin10011000010011001…
…001001110111011100
31221202120210201222210
4103002121021313130
5313330424234400
613220210440420
71322360461635
oct230231116734
957676721883
1020441243100
11873a604543
123b65893110
131c09c29825
14dbcb4488c
157e9879950
hex4c2649ddc

20441243100 has 144 divisors (see below), whose sum is σ = 64963342080. Its totient is φ = 4939545600.

The previous prime is 20441243063. The next prime is 20441243101. The reversal of 20441243100 is 134214402.

It is a super-2 number, since 2×204412431002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20441243101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53140 + ... + 209060.

It is an arithmetic number, because the mean of its divisors is an integer number (451134320).

Almost surely, 220441243100 is an apocalyptic number.

20441243100 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 20441243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32481671040).

20441243100 is an abundant number, since it is smaller than the sum of its proper divisors (44522098980).

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

20441243100 is a wasteful number, since it uses less digits than its factorization.

20441243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155980 (or 155973 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20441243100 its reverse (134214402), we get a palindrome (20575457502).

The spelling of 20441243100 in words is "twenty billion, four hundred forty-one million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 25 30 38 46 50 57 60 69 75 76 92 95 100 114 115 138 150 190 228 230 276 285 300 345 380 437 460 475 570 575 690 874 950 1140 1150 1311 1380 1425 1725 1748 1900 2185 2300 2622 2850 3450 4370 5244 5700 6555 6900 8740 10925 13110 21850 26220 32775 43700 65550 131100 155921 311842 467763 623684 779605 935526 1559210 1871052 2338815 2962499 3118420 3586183 3898025 4677630 5924998 7172366 7796050 8887497 9355260 10758549 11694075 11849996 14344732 14812495 15592100 17774994 17930915 21517098 23388150 29624990 35549988 35861830 43034196 44437485 46776300 53792745 59249980 68137477 71723660 74062475 88874970 89654575 107585490 136274954 148124950 177749940 179309150 204412431 215170980 222187425 268963725 272549908 296249900 340687385 358618300 408824862 444374850 537927450 681374770 817649724 888749700 1022062155 1075854900 1362749540 1703436925 2044124310 3406873850 4088248620 5110310775 6813747700 10220621550 20441243100