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10442420241 = 311535970509
BaseRepresentation
bin10011011100110101…
…01011000000010001
3222221202020220121020
421232122223000101
5132341224421431
64444105150053
7516526051611
oct115632530021
928852226536
1010442420241
114479523980
12203518b329
13ca55620b6
14710c0aa41
15411b50696
hex26e6ab011

10442420241 has 16 divisors (see below), whose sum is σ = 15475561920. Its totient is φ = 6209328320.

The previous prime is 10442420213. The next prime is 10442420297. The reversal of 10442420241 is 14202424401.

It is a cyclic number.

It is not a de Polignac number, because 10442420241 - 211 = 10442418193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10442420341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2983506 + ... + 2987003.

It is an arithmetic number, because the mean of its divisors is an integer number (967222620).

Almost surely, 210442420241 is an apocalyptic number.

10442420241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10442420241 is a deficient number, since it is larger than the sum of its proper divisors (5033141679).

10442420241 is a wasteful number, since it uses less digits than its factorization.

10442420241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970576.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10442420241 its reverse (14202424401), we get a palindrome (24644844642).

The spelling of 10442420241 in words is "ten billion, four hundred forty-two million, four hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 11 33 53 159 583 1749 5970509 17911527 65675599 197026797 316436977 949310931 3480806747 10442420241