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20205521310 = 23513193187961
BaseRepresentation
bin10010110100010101…
…111100100110011110
31221011011020211111010
4102310111330212132
5312340103140220
613140550240050
71313466045252
oct226425744636
957134224433
1020205521310
118629543247
123aba956026
131ba0146090
14d99704262
157d3d161e0
hex4b457c99e

20205521310 has 128 divisors (see below), whose sum is σ = 56746045440. Its totient is φ = 4559846400.

The previous prime is 20205521293. The next prime is 20205521353. The reversal of 20205521310 is 1312550202.

It is a super-2 number, since 2×202055213102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 185730 + ... + 273690.

It is an arithmetic number, because the mean of its divisors is an integer number (443328480).

Almost surely, 220205521310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20205521310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28373022720).

20205521310 is an abundant number, since it is smaller than the sum of its proper divisors (36540524130).

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

20205521310 is a wasteful number, since it uses less digits than its factorization.

20205521310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88034.

The product of its (nonzero) digits is 600, while the sum is 21.

The spelling of 20205521310 in words is "twenty billion, two hundred five million, five hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 31 38 39 57 62 65 78 93 95 114 130 155 186 190 195 247 285 310 390 403 465 494 570 589 741 806 930 1178 1209 1235 1482 1767 2015 2418 2470 2945 3534 3705 4030 5890 6045 7410 7657 8835 12090 15314 17670 22971 38285 45942 76570 87961 114855 175922 229710 263883 439805 527766 879610 1143493 1319415 1671259 2286986 2638830 2726791 3342518 3430479 5013777 5453582 5717465 6860958 8180373 8356295 10027554 11434930 13633955 16360746 16712590 17152395 21726367 25068885 27267910 34304790 35448283 40901865 43452734 50137770 51809029 65179101 70896566 81803730 103618058 106344849 108631835 130358202 155427087 177241415 212689698 217263670 259045145 310854174 325895505 354482830 518090290 531724245 651791010 673517377 777135435 1063448490 1347034754 1554270870 2020552131 3367586885 4041104262 6735173770 10102760655 20205521310