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10441242312 = 233435051763
BaseRepresentation
bin10011011100101100…
…01011011011001000
3222221200001001210020
421232112023123020
5132340424223222
64444024020440
7516513044454
oct115626133310
928850031706
1010441242312
114478899986
122034901720
13ca523bbb7
147109c1664
154119bb65c
hex26e58b6c8

10441242312 has 16 divisors (see below), whose sum is σ = 26103105840. Its totient is φ = 3480414096.

The previous prime is 10441242307. The next prime is 10441242319. The reversal of 10441242312 is 21324214401.

10441242312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×104412423123 (a number of 31 digits) contains 333 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: 435051763 = 10441242312 / (1 + 0 + 4 + 4 + 1 + 2 + 4 + 2 + 3 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (10441242319) 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, 217525858 + ... + 217525905.

It is an arithmetic number, because the mean of its divisors is an integer number (1631444115).

Almost surely, 210441242312 is an apocalyptic number.

10441242312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10441242312 is an abundant number, since it is smaller than the sum of its proper divisors (15661863528).

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

10441242312 is a wasteful number, since it uses less digits than its factorization.

10441242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435051772 (or 435051768 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10441242312 its reverse (21324214401), we get a palindrome (31765456713).

The spelling of 10441242312 in words is "ten billion, four hundred forty-one million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 435051763 870103526 1305155289 1740207052 2610310578 3480414104 5220621156 10441242312