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10442033431 = 82934693631
BaseRepresentation
bin10011011100110010…
…01100100100010111
3222221201112020222221
421232121030210113
5132341130032211
64444053003211
7516522551104
oct115631144427
928851466887
1010442033431
11447928a2a5
122035023507
13ca545800b
14710b49aab
15411ac5c71
hex26e64c917

10442033431 has 8 divisors (see below), whose sum is σ = 10460523200. Its totient is φ = 10423559520.

The previous prime is 10442033417. The next prime is 10442033443. The reversal of 10442033431 is 13433024401.

10442033431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10442033431 - 233 = 1852098839 is a prime.

It is a super-2 number, since 2×104420334312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10442033396 and 10442033405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442033731) 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 7 ways as a sum of consecutive naturals, for example, 2873986 + ... + 2877616.

It is an arithmetic number, because the mean of its divisors is an integer number (1307565400).

Almost surely, 210442033431 is an apocalyptic number.

10442033431 is a deficient number, since it is larger than the sum of its proper divisors (18489769).

10442033431 is an equidigital number, since it uses as much as digits as its factorization.

10442033431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7929.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10442033431 its reverse (13433024401), we get a palindrome (23875057832).

The spelling of 10442033431 in words is "ten billion, four hundred forty-two million, thirty-three thousand, four hundred thirty-one".

Divisors: 1 829 3469 3631 2875801 3010099 12595939 10442033431