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20302331100 = 22352617191543
BaseRepresentation
bin10010111010000111…
…001111110011011100
31221101220102021112220
4102322013033303130
5313034344043400
613154325225340
71316052652452
oct227207176334
957356367486
1020302331100
118679155937
123b27262250
131bb721078c
14da85049d2
157dc58a7a0
hex4ba1cfcdc

20302331100 has 144 divisors (see below), whose sum is σ = 59826170880. Its totient is φ = 5314348800.

The previous prime is 20302331083. The next prime is 20302331123. The reversal of 20302331100 is 113320302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20302331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13156929 + ... + 13158471.

It is an arithmetic number, because the mean of its divisors is an integer number (415459520).

Almost surely, 220302331100 is an apocalyptic number.

20302331100 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 20302331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29913085440).

20302331100 is an abundant number, since it is smaller than the sum of its proper divisors (39523839780).

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

20302331100 is a wasteful number, since it uses less digits than its factorization.

20302331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20302331100 its reverse (113320302), we get a palindrome (20415651402).

The spelling of 20302331100 in words is "twenty billion, three hundred two million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 719 732 915 1220 1438 1525 1543 1830 2157 2876 3050 3086 3595 3660 4314 4575 4629 6100 6172 7190 7715 8628 9150 9258 10785 14380 15430 17975 18300 18516 21570 23145 30860 35950 38575 43140 43859 46290 53925 71900 77150 87718 92580 94123 107850 115725 131577 154300 175436 188246 215700 219295 231450 263154 282369 376492 438590 462900 470615 526308 564738 657885 877180 941230 1096475 1109417 1129476 1315770 1411845 1882460 2192950 2218834 2353075 2631540 2823690 3289425 3328251 4385900 4437668 4706150 5547085 5647380 6578850 6656502 7059225 9412300 11094170 13157700 13313004 14118450 16641255 22188340 27735425 28236900 33282510 55470850 66565020 67674437 83206275 110941700 135348874 166412550 203023311 270697748 332825100 338372185 406046622 676744370 812093244 1015116555 1353488740 1691860925 2030233110 3383721850 4060466220 5075582775 6767443700 10151165550 20302331100