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13320102312 = 233211157107123
BaseRepresentation
bin11000110011111000…
…01010000110101000
31021101022010022021200
430121330022012220
5204234421233222
610041424004200
7651041000346
oct143174120650
937338108250
1013320102312
11571593a020
1226b8a60660
1313437ba65a
14905092996
1552e5d1eac
hex319f0a1a8

13320102312 has 96 divisors (see below), whose sum is σ = 39605885280. Its totient is φ = 4010647680.

The previous prime is 13320102287. The next prime is 13320102343. The reversal of 13320102312 is 21320102331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70783 + ... + 177905.

It is an arithmetic number, because the mean of its divisors is an integer number (412561305).

Almost surely, 213320102312 is an apocalyptic number.

13320102312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19802942640).

13320102312 is an abundant number, since it is smaller than the sum of its proper divisors (26285782968).

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

13320102312 is a wasteful number, since it uses less digits than its factorization.

13320102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107303 (or 107296 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13320102312 its reverse (21320102331), we get a palindrome (34640204643).

The spelling of 13320102312 in words is "thirteen billion, three hundred twenty million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 157 198 264 314 396 471 628 792 942 1256 1413 1727 1884 2826 3454 3768 5181 5652 6908 10362 11304 13816 15543 20724 31086 41448 62172 107123 124344 214246 321369 428492 642738 856984 964107 1178353 1285476 1928214 2356706 2570952 3535059 3856428 4713412 7070118 7712856 9426824 10605177 14140236 16818311 21210354 28280472 33636622 42420708 50454933 67273244 84841416 100909866 134546488 151364799 185001421 201819732 302729598 370002842 403639464 555004263 605459196 740005684 1110008526 1210918392 1480011368 1665012789 2220017052 3330025578 4440034104 6660051156 13320102312