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105303220 = 22511478651
BaseRepresentation
bin1100100011011…
…00110010110100
321100010221212021
412101230302310
5203424200340
614241002524
72416030321
oct621546264
9240127767
10105303220
1154493960
122b323444
1318a7c5c9
14ddb1b48
1593a0e4a
hex646ccb4

105303220 has 24 divisors (see below), whose sum is σ = 241240608. Its totient is φ = 38292000.

The previous prime is 105303199. The next prime is 105303229. The reversal of 105303220 is 22303501.

It is a super-2 number, since 2×1053032202 = 22177536284736800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105303194 and 105303203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105303229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239106 + ... + 239545.

It is an arithmetic number, because the mean of its divisors is an integer number (10051692).

Almost surely, 2105303220 is an apocalyptic number.

105303220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105303220 is an abundant number, since it is smaller than the sum of its proper divisors (135937388).

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

105303220 is a wasteful number, since it uses less digits than its factorization.

105303220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478671 (or 478669 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 105303220 is about 10261.7357206274. The cubic root of 105303220 is about 472.2230883080.

Adding to 105303220 its reverse (22303501), we get a palindrome (127606721).

The spelling of 105303220 in words is "one hundred five million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 478651 957302 1914604 2393255 4786510 5265161 9573020 10530322 21060644 26325805 52651610 105303220