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13321224200401 = 13171923891549817
BaseRepresentation
bin1100000111011001011011…
…0101100010000011010001
31202011111102000111122111221
43001312112311202003101
53221223331343403101
644155404054005041
72543266232301235
oct301662665420321
952144360448457
1013321224200401
114276554860987
1215b18ab046781
137582559aa390
14340a71c7c5c5
151817b02ccaa1
hexc1d96d620d1

13321224200401 has 64 divisors (see below), whose sum is σ = 16871938675200. Its totient is φ = 10369533689856.

The previous prime is 13321224200387. The next prime is 13321224200423. The reversal of 13321224200401 is 10400242212331.

It is a cyclic number.

It is not a de Polignac number, because 13321224200401 - 25 = 13321224200369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13321224200461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7820445 + ... + 9370261.

It is an arithmetic number, because the mean of its divisors is an integer number (263624041800).

Almost surely, 213321224200401 is an apocalyptic number.

It is an amenable number.

13321224200401 is a deficient number, since it is larger than the sum of its proper divisors (3550714474799).

13321224200401 is a wasteful number, since it uses less digits than its factorization.

13321224200401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549978.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13321224200401 its reverse (10400242212331), we get a palindrome (23721466412732).

The spelling of 13321224200401 in words is "thirteen trillion, three hundred twenty-one billion, two hundred twenty-four million, two hundred thousand, four hundred one".

Divisors: 1 13 17 19 23 89 221 247 299 323 391 437 1157 1513 1691 2047 4199 5083 5681 7429 19669 21983 26611 28747 34799 38893 96577 373711 452387 505609 661181 1549817 8595353 20147621 26346889 29446523 35645791 137933713 342509557 382804799 463395283 500590891 605978447 677270029 1793138269 2344873121 2620740547 3172475399 6507681583 7877719811 8804510377 11513590493 30483350573 34069627111 41242180187 44552589299 53932081783 60277032581 149676676409 579183660887 701117063179 783601423553 1024709553877 13321224200401