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105013430 = 2531338753
BaseRepresentation
bin1100100001001…
…10000010110110
321022121020100022
412100212002312
5203340412210
614230445142
72413412414
oct620460266
9238536308
10105013430
1154306165
122b2037b2
13189aa732
14dd382b4
159345155
hex64260b6

105013430 has 16 divisors (see below), whose sum is σ = 195122304. Its totient is φ = 40650240.

The previous prime is 105013421. The next prime is 105013453. The reversal of 105013430 is 34310501.

It is a super-2 number, since 2×1050134302 = 22055640960729800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105013399 and 105013408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169067 + ... + 169686.

It is an arithmetic number, because the mean of its divisors is an integer number (12195144).

Almost surely, 2105013430 is an apocalyptic number.

105013430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105013430 is a deficient number, since it is larger than the sum of its proper divisors (90108874).

105013430 is a wasteful number, since it uses less digits than its factorization.

105013430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338791.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 105013430 is about 10247.6060619054. The cubic root of 105013430 is about 471.7895110250.

Adding to 105013430 its reverse (34310501), we get a palindrome (139323931).

It can be divided in two parts, 10501 and 3430, that added together give a palindrome (13931).

The spelling of 105013430 in words is "one hundred five million, thirteen thousand, four hundred thirty".

Divisors: 1 2 5 10 31 62 155 310 338753 677506 1693765 3387530 10501343 21002686 52506715 105013430