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10331114441 = 41421759753
BaseRepresentation
bin10011001111100100…
…00100101111001001
3222122222210222202012
421213302010233021
5132124231130231
64425051345305
7514005011114
oct114762045711
928588728665
1010331114441
11442171020a
122003a52235
13c8849058b
1470011557b
15406eb5e2b
hex267c84bc9

10331114441 has 8 divisors (see below), whose sum is σ = 10585779624. Its totient is φ = 10076577280.

The previous prime is 10331114419. The next prime is 10331114459. The reversal of 10331114441 is 14441113301.

10331114441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1606807225 + 8724307216 = 40085^2 + 93404^2 .

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 10331114441 - 210 = 10331113417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10331114461) 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, 143021 + ... + 202773.

It is an arithmetic number, because the mean of its divisors is an integer number (1323222453).

Almost surely, 210331114441 is an apocalyptic number.

It is an amenable number.

10331114441 is a deficient number, since it is larger than the sum of its proper divisors (254665183).

10331114441 is an equidigital number, since it uses as much as digits as its factorization.

10331114441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64011.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10331114441 its reverse (14441113301), we get a palindrome (24772227742).

The spelling of 10331114441 in words is "ten billion, three hundred thirty-one million, one hundred fourteen thousand, four hundred forty-one".

Divisors: 1 41 4217 59753 172897 2449873 251978401 10331114441