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13330224030 = 2354397106531
BaseRepresentation
bin11000110101000101…
…10001001110011110
31021102000011112200010
430122202301032132
5204300014132110
610042424544050
7651223014624
oct143242611636
937360145603
1013330224030
115720622682
122700322026
131345922736
14906569514
15530431020
hex31a8b139e

13330224030 has 64 divisors (see below), whose sum is σ = 33074350848. Its totient is φ = 3436231680.

The previous prime is 13330224029. The next prime is 13330224091. The reversal of 13330224030 is 3042203331.

13330224030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13330223988 and 13330224006.

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 31 ways as a sum of consecutive naturals, for example, 71865 + ... + 178395.

It is an arithmetic number, because the mean of its divisors is an integer number (516786732).

Almost surely, 213330224030 is an apocalyptic number.

13330224030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13330224030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16537175424).

13330224030 is an abundant number, since it is smaller than the sum of its proper divisors (19744126818).

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

13330224030 is a wasteful number, since it uses less digits than its factorization.

13330224030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106681.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 13330224030 its reverse (3042203331), we get a palindrome (16372427361).

The spelling of 13330224030 in words is "thirteen billion, three hundred thirty million, two hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 97 129 194 215 258 291 430 485 582 645 970 1290 1455 2910 4171 8342 12513 20855 25026 41710 62565 106531 125130 213062 319593 532655 639186 1065310 1597965 3195930 4580833 9161666 10333507 13742499 20667014 22904165 27484998 31000521 45808330 51667535 62001042 68712495 103335070 137424990 155002605 310005210 444340801 888681602 1333022403 2221704005 2666044806 4443408010 6665112015 13330224030