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13312221010420 = 2259710167940293
BaseRepresentation
bin1100000110110111111000…
…1101000101100111110100
31202010122011120102012200011
43001231332031011213310
53221101412034313140
644151314440230004
72542530150403033
oct301557615054764
952118146365604
1013312221010420
114272754791002
1215abbb7a6b304
1375744c681127
1434045a27671a
15181434bc0cea
hexc1b7e3459f4

13312221010420 has 48 divisors (see below), whose sum is σ = 28523509510608. Its totient is φ = 5217814425600.

The previous prime is 13312221010393. The next prime is 13312221010421. The reversal of 13312221010420 is 2401012221331.

It can be written as a sum of positive squares in 8 ways, for example, as 2948212625296 + 10364008385124 = 1717036^2 + 3219318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13312221010391 and 13312221010400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312221010421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33774207 + ... + 34166086.

It is an arithmetic number, because the mean of its divisors is an integer number (594239781471).

Almost surely, 213312221010420 is an apocalyptic number.

13312221010420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312221010420 is an abundant number, since it is smaller than the sum of its proper divisors (15211288500188).

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

13312221010420 is a wasteful number, since it uses less digits than its factorization.

13312221010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67940500 (or 67940498 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13312221010420 its reverse (2401012221331), we get a palindrome (15713233231751).

The spelling of 13312221010420 in words is "thirteen trillion, three hundred twelve billion, two hundred twenty-one million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 97 101 194 202 388 404 485 505 970 1010 1940 2020 9797 19594 39188 48985 97970 195940 67940293 135880586 271761172 339701465 679402930 1358805860 6590208421 6861969593 13180416842 13723939186 26360833684 27447878372 32951042105 34309847965 65902084210 68619695930 131804168420 137239391860 665611050521 1331222101042 2662444202084 3328055252605 6656110505210 13312221010420