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13330132340 = 2257181526051
BaseRepresentation
bin11000110101000100…
…11010110101110100
31021101222222212220012
430122202122311310
5204300003213330
610042422555352
7651222153410
oct143242326564
937358885805
1013330132340
11572056a7a8
122700298b58
1313458bca95
14906543d40
15530413c95
hex31a89ad74

13330132340 has 48 divisors (see below), whose sum is σ = 32169131904. Its totient is φ = 4545072000.

The previous prime is 13330132307. The next prime is 13330132351. The reversal of 13330132340 is 4323103331.

13330132340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 237686 + ... + 288365.

It is an arithmetic number, because the mean of its divisors is an integer number (670190248).

Almost surely, 213330132340 is an apocalyptic number.

13330132340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330132340 is an abundant number, since it is smaller than the sum of its proper divisors (18838999564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13330132340 is a wasteful number, since it uses less digits than its factorization.

13330132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526248 (or 526246 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 13330132340 its reverse (4323103331), we get a palindrome (17653235671).

The spelling of 13330132340 in words is "thirteen billion, three hundred thirty million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 724 905 1267 1810 2534 3620 5068 6335 12670 25340 526051 1052102 2104204 2630255 3682357 5260510 7364714 10521020 14729428 18411785 36823570 73647140 95215231 190430462 380860924 476076155 666506617 952152310 1333013234 1904304620 2666026468 3332533085 6665066170 13330132340