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20331030120 = 23352332512897
BaseRepresentation
bin10010111011110100…
…101110011001101000
31221110220102100012120
4102323310232121220
5313114220430440
613201232311240
71316551622202
oct227364563150
957426370176
1020331030120
118693377935
123b349a2520
131bc014b54b
14dac255772
157ded58dd0
hex4bbd2e668

20331030120 has 128 divisors (see below), whose sum is σ = 61520135040. Its totient is φ = 5374976000.

The previous prime is 20331030107. The next prime is 20331030121. The reversal of 20331030120 is 2103013302.

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 20331030120.

It is not an unprimeable number, because it can be changed into a prime (20331030121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7016512 + ... + 7019408.

It is an arithmetic number, because the mean of its divisors is an integer number (480626055).

Almost surely, 220331030120 is an apocalyptic number.

20331030120 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 20331030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30760067520).

20331030120 is an abundant number, since it is smaller than the sum of its proper divisors (41189104920).

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

20331030120 is a wasteful number, since it uses less digits than its factorization.

20331030120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3391 counting only the distinct ones).

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

Adding to 20331030120 its reverse (2103013302), we get a palindrome (22434043422).

The spelling of 20331030120 in words is "twenty billion, three hundred thirty-one million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 251 466 502 699 753 932 1004 1165 1255 1398 1506 1864 2008 2330 2510 2796 2897 3012 3495 3765 4660 5020 5592 5794 6024 6990 7530 8691 9320 10040 11588 13980 14485 15060 17382 23176 27960 28970 30120 34764 43455 57940 58483 69528 86910 115880 116966 173820 175449 233932 292415 347640 350898 467864 584830 675001 701796 727147 877245 1169660 1350002 1403592 1454294 1754490 2025003 2181441 2339320 2700004 2908588 3375005 3508980 3635735 4050006 4362882 5400008 5817176 6750010 7017960 7271470 8100012 8725764 10125015 10907205 13500020 14542940 16200024 17451528 20250030 21814410 27000040 29085880 40500060 43628820 81000120 87257640 169425251 338850502 508275753 677701004 847126255 1016551506 1355402008 1694252510 2033103012 2541378765 3388505020 4066206024 5082757530 6777010040 10165515060 20331030120