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20330322100 = 225211178231321
BaseRepresentation
bin10010111011110010…
…000001100010110100
31221110212002100222121
4102323302001202310
5313114030301400
613201205205324
71316542613044
oct227362014264
957425070877
1020330322100
118692a339a0
123b34700844
131bbcc611ba
14dac10d724
157dec6921a
hex4bbc818b4

20330322100 has 144 divisors (see below), whose sum is σ = 51058982016. Its totient is φ = 6944256000.

The previous prime is 20330322073. The next prime is 20330322119. The reversal of 20330322100 is 122303302.

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, 15389440 + ... + 15390760.

It is an arithmetic number, because the mean of its divisors is an integer number (354576264).

Almost surely, 220330322100 is an apocalyptic number.

20330322100 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 20330322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25529491008).

20330322100 is an abundant number, since it is smaller than the sum of its proper divisors (30728659916).

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

20330322100 is a wasteful number, since it uses less digits than its factorization.

20330322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 20330322100 its reverse (122303302), we get a palindrome (20452625402).

It can be divided in two parts, 203 and 30322100, that added together give a palindrome (30322303).

The spelling of 20330322100 in words is "twenty billion, three hundred thirty million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 823 850 935 1100 1321 1646 1700 1870 2642 3292 3740 4115 4675 5284 6605 8230 9053 9350 13210 13991 14531 16460 18106 18700 20575 22457 26420 27982 29062 33025 36212 41150 44914 45265 55964 58124 66050 69955 72655 82300 89828 90530 112285 132100 139910 145310 153901 181060 224570 226325 247027 279820 290620 307802 349775 363275 449140 452650 494054 561425 615604 699550 726550 769505 905300 988108 1087183 1122850 1235135 1399100 1453100 1539010 2174366 2245700 2470270 3078020 3847525 4348732 4940540 5435915 6175675 7695050 10871830 11959013 12351350 15390100 18482111 21743660 23918026 24702700 27179575 36964222 47836052 54359150 59795065 73928444 92410555 108718300 119590130 184821110 203303221 239180260 298975325 369642220 406606442 462052775 597950650 813212884 924105550 1016516105 1195901300 1848211100 2033032210 4066064420 5082580525 10165161050 20330322100