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105052442420 = 22532031639907
BaseRepresentation
bin110000111010110011…
…1010000111100110100
3101001011021201000021202
41201311213100330310
53210121411124140
6120132130232032
710406204012222
oct1416547207464
9331137630252
10105052442420
1140609401952
1218439a25618
139ba24a0343
145128093b12
152aeca9e915
hex18759d0f34

105052442420 has 24 divisors (see below), whose sum is σ = 220679139744. Its totient is φ = 42007832096.

The previous prime is 105052442399. The next prime is 105052442447. The reversal of 105052442420 is 24244250501.

It is a super-2 number, since 2×1050524424202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 755894 + ... + 884013.

It is an arithmetic number, because the mean of its divisors is an integer number (9194964156).

Almost surely, 2105052442420 is an apocalyptic number.

105052442420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105052442420 is an abundant number, since it is smaller than the sum of its proper divisors (115626697324).

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

105052442420 is a wasteful number, since it uses less digits than its factorization.

105052442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643119 (or 1643117 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 105052442420 its reverse (24244250501), we get a palindrome (129296692921).

The spelling of 105052442420 in words is "one hundred five billion, fifty-two million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 3203 6406 12812 16015 32030 64060 1639907 3279814 6559628 8199535 16399070 32798140 5252622121 10505244242 21010488484 26263110605 52526221210 105052442420