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10331442033 = 3111925914699
BaseRepresentation
bin10011001111100110…
…10100101101110001
3222200000102122010020
421213303110231301
5132124322121113
64425102354053
7514010544153
oct114763245561
928600378106
1010331442033
114421914350
122003b8b929
13c88576713
1470019cad3
1540702d023
hex267cd4b71

10331442033 has 48 divisors (see below), whose sum is σ = 16130016000. Its totient is φ = 5830990560.

The previous prime is 10331442007. The next prime is 10331442073. The reversal of 10331442033 is 33024413301.

It is not a de Polignac number, because 10331442033 - 26 = 10331441969 is a prime.

It is a super-3 number, since 3×103314420333 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10331441994 and 10331442012.

It is not an unprimeable number, because it can be changed into a prime (10331442073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 695518 + ... + 710216.

It is an arithmetic number, because the mean of its divisors is an integer number (336042000).

Almost surely, 210331442033 is an apocalyptic number.

It is an amenable number.

10331442033 is a deficient number, since it is larger than the sum of its proper divisors (5798573967).

10331442033 is a wasteful number, since it uses less digits than its factorization.

10331442033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14810 (or 14791 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10331442033 its reverse (33024413301), we get a palindrome (43355855334).

The spelling of 10331442033 in words is "ten billion, three hundred thirty-one million, four hundred forty-two thousand, thirty-three".

Divisors: 1 3 11 19 33 57 59 177 209 361 627 649 1083 1121 1947 3363 3971 11913 12331 14699 21299 36993 44097 63897 161689 234289 279281 485067 702867 837843 867241 2601723 3072091 5306339 9216273 9539651 15919017 16477579 28618953 49432737 58369729 175109187 181253369 313074001 543760107 939222003 3443814011 10331442033