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13312213301240 = 2357175963270191
BaseRepresentation
bin1100000110110111110110…
…1111101011011111111000
31202010122011000220112122222
43001231331233223133320
53221101403101114430
644151314003103212
72542530025024220
oct301557557533770
952118130815588
1013312213301240
1142727503a5a87
1215abbb5371b08
1375744abb2199
1434045922b080
1518143419b9e5
hexc1b7dbeb7f8

13312213301240 has 64 divisors (see below), whose sum is σ = 34231726863360. Its totient is φ = 4564144586880.

The previous prime is 13312213301207. The next prime is 13312213301353. The reversal of 13312213301240 is 4210331221331.

It is a happy number.

It is a super-2 number, since 2×133122133012402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49134545 + ... + 49404735.

It is an arithmetic number, because the mean of its divisors is an integer number (534870732240).

Almost surely, 213312213301240 is an apocalyptic number.

13312213301240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312213301240 is an abundant number, since it is smaller than the sum of its proper divisors (20919513562120).

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

13312213301240 is a wasteful number, since it uses less digits than its factorization.

13312213301240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446172 (or 446168 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13312213301240 its reverse (4210331221331), we get a palindrome (17522544522571).

The spelling of 13312213301240 in words is "thirteen trillion, three hundred twelve billion, two hundred thirteen million, three hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 175963 270191 351926 540382 703852 879815 1080764 1231741 1350955 1407704 1759630 1891337 2161528 2463482 2701910 3519260 3782674 4926964 5403820 6158705 7038520 7565348 9456685 9853928 10807640 12317410 15130696 18913370 24634820 37826740 49269640 75653480 47543618933 95087237866 190174475732 237718094665 332805332531 380348951464 475436189330 665610665062 950872378660 1331221330124 1664026662655 1901744757320 2662442660248 3328053325310 6656106650620 13312213301240