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13531440330 = 23251941193003
BaseRepresentation
bin11001001101000100…
…10110010011001010
31021221000210101112200
430212202112103022
5210203022042310
610114413421030
7656215226232
oct144642262312
937830711480
1013531440330
115814166441
12275779a776
131378514535
14925186cc2
15542e2a9c0
hex3268964ca

13531440330 has 96 divisors (see below), whose sum is σ = 37936866240. Its totient is φ = 3335074560.

The previous prime is 13531440319. The next prime is 13531440331. The reversal of 13531440330 is 3304413531.

13531440330 is a `hidden beast` number, since 13 + 5 + 314 + 4 + 0 + 330 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13531440294 and 13531440303.

It is not an unprimeable number, because it can be changed into a prime (13531440331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26392 + ... + 166611.

It is an arithmetic number, because the mean of its divisors is an integer number (395175690).

Almost surely, 213531440330 is an apocalyptic number.

13531440330 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 13531440330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18968433120).

13531440330 is an abundant number, since it is smaller than the sum of its proper divisors (24405425910).

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

13531440330 is a wasteful number, since it uses less digits than its factorization.

13531440330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193076 (or 193073 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 13531440330 its reverse (3304413531), we get a palindrome (16835853861).

The spelling of 13531440330 in words is "thirteen billion, five hundred thirty-one million, four hundred forty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 41 45 57 82 90 95 114 123 171 190 205 246 285 342 369 410 570 615 738 779 855 1230 1558 1710 1845 2337 3690 3895 4674 7011 7790 11685 14022 23370 35055 70110 193003 386006 579009 965015 1158018 1737027 1930030 2895045 3474054 3667057 5790090 7334114 7913123 8685135 11001171 15826246 17370270 18335285 22002342 23739369 33003513 36670570 39565615 47478738 55005855 66007026 71218107 79131230 110011710 118696845 142436214 150349337 165017565 237393690 300698674 330035130 356090535 451048011 712181070 751746685 902096022 1353144033 1503493370 2255240055 2706288066 4510480110 6765720165 13531440330