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105301212 = 22383910459
BaseRepresentation
bin1100100011011…
…00010011011100
321100010212002220
412101230103130
5203424114322
614240545340
72416021422
oct621542334
9240125086
10105301212
11544923a5
122b322250
1318a7b713
14ddb1112
1593a055c
hex646c4dc

105301212 has 24 divisors (see below), whose sum is σ = 246019200. Its totient is φ = 35055216.

The previous prime is 105301201. The next prime is 105301219. The reversal of 105301212 is 212103501.

It is a super-2 number, since 2×1053012122 = 22176690497337888, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105301191 and 105301200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105301219) 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, 4839 + ... + 15297.

It is an arithmetic number, because the mean of its divisors is an integer number (10250800).

Almost surely, 2105301212 is an apocalyptic number.

105301212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105301212 is an abundant number, since it is smaller than the sum of its proper divisors (140717988).

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

105301212 is a wasteful number, since it uses less digits than its factorization.

105301212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11305 (or 11303 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105301212 is about 10261.6378809623. The cubic root of 105301212 is about 472.2200867221.

Adding to 105301212 its reverse (212103501), we get a palindrome (317404713).

The spelling of 105301212 in words is "one hundred five million, three hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 839 1678 2517 3356 5034 10068 10459 20918 31377 41836 62754 125508 8775101 17550202 26325303 35100404 52650606 105301212