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105011042424 = 2334375460101
BaseRepresentation
bin110000111001100100…
…1010101100001111000
3101001001101210200011120
41201303021111201320
53210030311324144
6120124051025240
710405162063431
oct1416311254170
9331041720146
10105011042424
1140597aa5482
1218427b9b220
139b96a364c2
145122798488
152ae9122e19
hex1873255878

105011042424 has 16 divisors (see below), whose sum is σ = 262527606120. Its totient is φ = 35003680800.

The previous prime is 105011042407. The next prime is 105011042429. The reversal of 105011042424 is 424240110501.

It is a super-2 number, since 2×1050110424242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4375460101 = 105011042424 / (1 + 0 + 5 + 0 + 1 + 1 + 0 + 4 + 2 + 4 + 2 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 105011042394 and 105011042403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105011042429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2187730027 + ... + 2187730074.

Almost surely, 2105011042424 is an apocalyptic number.

It is an amenable number.

105011042424 is an abundant number, since it is smaller than the sum of its proper divisors (157516563696).

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

105011042424 is a wasteful number, since it uses less digits than its factorization.

105011042424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375460110 (or 4375460106 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 105011042424 its reverse (424240110501), we get a palindrome (529251152925).

The spelling of 105011042424 in words is "one hundred five billion, eleven million, forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 4375460101 8750920202 13126380303 17501840404 26252760606 35003680808 52505521212 105011042424