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105304202220 = 22357534730647
BaseRepresentation
bin110001000010010011…
…1101001101111101100
3101001210211102201210210
41202010213221233230
53211130333432340
6120213122302420
710415351643630
oct1420447515754
9331724381723
10105304202220
11407285277a8
12184aa1b7a10
139c126aaa39
14514d6aadc0
152b14c30180
hex18849e9bec

105304202220 has 96 divisors (see below), whose sum is σ = 343331509248. Its totient is φ = 23615384832.

The previous prime is 105304202209. The next prime is 105304202243. The reversal of 105304202220 is 22202403501.

It is a super-2 number, since 2×1053042022202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 2343064 + ... + 2387583.

It is an arithmetic number, because the mean of its divisors is an integer number (3576369888).

Almost surely, 2105304202220 is an apocalyptic number.

105304202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105304202220 is an abundant number, since it is smaller than the sum of its proper divisors (238027307028).

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

105304202220 is a wasteful number, since it uses less digits than its factorization.

105304202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730719 (or 4730717 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 105304202220 its reverse (22202403501), we get a palindrome (127506605721).

The spelling of 105304202220 in words is "one hundred five billion, three hundred four million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2226 3180 3710 4452 5565 7420 11130 22260 4730647 9461294 14191941 18922588 23653235 28383882 33114529 47306470 56767764 66229058 70959705 94612940 99343587 132458116 141919410 165572645 198687174 250724291 283838820 331145290 397374348 496717935 501448582 662290580 752172873 993435870 1002897164 1253621455 1504345746 1755070037 1986871740 2507242910 3008691492 3510140074 3760864365 5014485820 5265210111 7020280148 7521728730 8775350185 10530420222 15043457460 17550700370 21060840444 26326050555 35101400740 52652101110 105304202220