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13233430441 = 7211191797219
BaseRepresentation
bin11000101001100011…
…00001111110101001
31021011021000220211101
430110301201332221
5204100224233231
610025050201401
7645636205600
oct142461417651
937137026741
1013233430441
115680a21180
122693a23261
13132b86251a
148d7770a37
15526bb1661
hex314c61fa9

13233430441 has 48 divisors (see below), whose sum is σ = 17778528000. Its totient is φ = 9713118240.

The previous prime is 13233430433. The next prime is 13233430447. The reversal of 13233430441 is 14403433231.

13233430441 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 13233430441 - 23 = 13233430433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13233430447) 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, 1829530 + ... + 1836748.

It is an arithmetic number, because the mean of its divisors is an integer number (370386000).

Almost surely, 213233430441 is an apocalyptic number.

13233430441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13233430441 is a deficient number, since it is larger than the sum of its proper divisors (4545097559).

13233430441 is a wasteful number, since it uses less digits than its factorization.

13233430441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7442 (or 7435 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 13233430441 its reverse (14403433231), we get a palindrome (27636863672).

The spelling of 13233430441 in words is "thirteen billion, two hundred thirty-three million, four hundred thirty thousand, four hundred forty-one".

Divisors: 1 7 11 19 49 77 133 179 209 539 931 1253 1463 1969 3401 7219 8771 10241 13783 23807 37411 50533 79409 96481 137161 166649 261877 353731 555863 960127 1292201 1508771 1833139 3891041 6720889 9045407 10561397 14214211 24551819 63317849 73929779 99499477 171862733 270070009 696496339 1203039131 1890490063 13233430441