Search a number
-
+
13331321001201 = 374189283614743
BaseRepresentation
bin1100000111111111000010…
…1001110001010011110001
31202012110110200102021101010
43001333300221301103301
53221410021134014301
644204154015301133
72544104363552250
oct301776051612361
952173420367333
1013331321001201
11427a866181855
1215b384851a7a9
137591a475b118
1434134cbdc797
15181ba190c5d6
hexc1ff0a714f1

13331321001201 has 64 divisors (see below), whose sum is σ = 21118079324160. Its totient is φ = 7322609986560.

The previous prime is 13331321001197. The next prime is 13331321001211. The reversal of 13331321001201 is 10210012313331.

It is a happy number.

It is not a de Polignac number, because 13331321001201 - 22 = 13331321001197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (13331321001211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21378636 + ... + 21993378.

It is an arithmetic number, because the mean of its divisors is an integer number (329969989440).

Almost surely, 213331321001201 is an apocalyptic number.

It is an amenable number.

13331321001201 is a deficient number, since it is larger than the sum of its proper divisors (7786758322959).

13331321001201 is a wasteful number, since it uses less digits than its factorization.

13331321001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615166.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13331321001201 its reverse (10210012313331), we get a palindrome (23541333314532).

The spelling of 13331321001201 in words is "thirteen trillion, three hundred thirty-one billion, three hundred twenty-one million, one thousand, two hundred one".

Divisors: 1 3 7 21 41 89 123 267 283 287 623 849 861 1869 1981 3649 5943 10947 11603 25187 25543 34809 75561 76629 81221 176309 243663 528927 614743 1032667 1844229 3098001 4303201 7228669 12909603 21686007 25204463 54712127 75613389 164136381 173972269 176431241 382984889 521916807 529293723 1148954667 1217805883 2243197207 3653417649 6729591621 7132863029 15483531941 15702380449 21398589087 46450595823 47107141347 49930041203 108384723587 149790123609 325154170761 634824809581 1904474428743 4443773667067 13331321001201