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10330441121 = 7211139715199
BaseRepresentation
bin10011001111011111…
…00000010110100001
3222122221112210010102
421213233200112201
5132124043103441
64425025112145
7513666205100
oct114757402641
928587483112
1010330441121
1144212a0350
122003788655
13c882b5c70
146dddbc037
15406dd169b
hex267be05a1

10330441121 has 48 divisors (see below), whose sum is σ = 14264409600. Its totient is φ = 7353400320.

The previous prime is 10330441111. The next prime is 10330441159. The reversal of 10330441121 is 12114403301.

10330441121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10330441121 - 222 = 10326246817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10330441093 and 10330441102.

It is not an unprimeable number, because it can be changed into a prime (10330441111) 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 47 ways as a sum of consecutive naturals, for example, 672080 + ... + 687278.

It is an arithmetic number, because the mean of its divisors is an integer number (297175200).

Almost surely, 210330441121 is an apocalyptic number.

10330441121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10330441121 is a deficient number, since it is larger than the sum of its proper divisors (3933968479).

10330441121 is a wasteful number, since it uses less digits than its factorization.

10330441121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15334 (or 15327 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10330441121 its reverse (12114403301), we get a palindrome (22444844422).

The spelling of 10330441121 in words is "ten billion, three hundred thirty million, four hundred forty-one thousand, one hundred twenty-one".

Divisors: 1 7 11 13 49 77 91 97 143 539 637 679 1001 1067 1261 4753 7007 7469 8827 13871 15199 52283 61789 97097 106393 167189 197587 679679 744751 1170323 1383109 1474303 2173457 8192261 9681763 10320121 15214199 16217333 19165939 72240847 106499393 113521331 134161573 210825329 794649317 939131011 1475777303 10330441121