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220311320213320 = 235710316274695199
BaseRepresentation
bin110010000101111100111001…
…111110110011011101001000
31001220001120000201000000022021
4302011330321332303131020
5212334040040433311240
62100321342344134224
764255652615442340
oct6205747176633510
91056046021000267
10220311320213320
116421a562835486
1220861987467374
1395c136475319b
143c591a6609d20
151a70c0a32654a
hexc85f39fb3748

220311320213320 has 128 divisors (see below), whose sum is σ = 572366665728000. Its totient is φ = 74755965954816.

The previous prime is 220311320213317. The next prime is 220311320213323. The reversal of 220311320213320 is 23312023113022.

It is an interprime number because it is at equal distance from previous prime (220311320213317) and next prime (220311320213323).

It is a super-2 number, since 2×2203113202133202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (220311320213323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44575081 + ... + 49270279.

It is an arithmetic number, because the mean of its divisors is an integer number (4471614576000).

Almost surely, 2220311320213320 is an apocalyptic number.

220311320213320 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 220311320213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286183332864000).

220311320213320 is an abundant number, since it is smaller than the sum of its proper divisors (352055345514680).

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

220311320213320 is a wasteful number, since it uses less digits than its factorization.

220311320213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696947 (or 4696943 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 220311320213320 its reverse (23312023113022), we get a palindrome (243623343326342).

The spelling of 220311320213320 in words is "two hundred twenty trillion, three hundred eleven billion, three hundred twenty million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 412 515 721 824 1030 1442 1627 2060 2884 3254 3605 4120 5768 6508 7210 8135 11389 13016 14420 16270 22778 28840 32540 45556 56945 65080 91112 113890 167581 227780 335162 455560 670324 837905 1173067 1340648 1675810 2346134 3351620 4692268 4695199 5865335 6703240 9384536 9390398 11730670 18780796 23461340 23475995 32866393 37561592 46922680 46951990 65732786 93903980 131465572 164331965 187807960 262931144 328663930 483605497 657327860 967210994 1314655720 1934421988 2418027485 3385238479 3868843976 4836054970 6770476958 7639088773 9672109940 13540953916 15278177546 16926192395 19344219880 27081907832 30556355092 33852384790 38195443865 53473621411 61112710184 67704769580 76390887730 106947242822 135409539160 152781775460 213894485644 267368107055 305563550920 427788971288 534736214110 786826143619 1069472428220 1573652287238 2138944856440 3147304574476 3934130718095 5507783005333 6294609148952 7868261436190 11015566010666 15736522872380 22031132021332 27538915026665 31473045744760 44062264042664 55077830053330 110155660106660 220311320213320