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10442405331 = 332711427143
BaseRepresentation
bin10011011100110101…
…00111010111010011
3222221202020011011000
421232122213113103
5132341223432311
64444104553043
7516525660261
oct115632472723
928852204130
1010442405331
114479513756
122035182783
13ca5558387
14710c05431
15411b4b056
hex26e6a75d3

10442405331 has 16 divisors (see below), whose sum is σ = 15527326720. Its totient is φ = 6935910120.

The previous prime is 10442405317. The next prime is 10442405341. The reversal of 10442405331 is 13350424401.

It is a happy number.

10442405331 is a `hidden beast` number, since 104 + 4 + 24 + 0 + 533 + 1 = 666.

It is not a de Polignac number, because 10442405331 - 27 = 10442405203 is a prime.

It is a super-2 number, since 2×104424053312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10442405295 and 10442405304.

It is not an unprimeable number, because it can be changed into a prime (10442405341) 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, 706255 + ... + 720888.

It is an arithmetic number, because the mean of its divisors is an integer number (970457920).

Almost surely, 210442405331 is an apocalyptic number.

10442405331 is a deficient number, since it is larger than the sum of its proper divisors (5084921389).

10442405331 is a wasteful number, since it uses less digits than its factorization.

10442405331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427423 (or 1427417 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10442405331 its reverse (13350424401), we get a palindrome (23792829732).

The spelling of 10442405331 in words is "ten billion, four hundred forty-two million, four hundred five thousand, three hundred thirty-one".

Divisors: 1 3 9 27 271 813 2439 7317 1427143 4281429 12844287 38532861 386755753 1160267259 3480801777 10442405331