Search a number
-
+
13312122033201 = 3172361186045617
BaseRepresentation
bin1100000110110111100001…
…0011100001010000110001
31202010121220200011122110020
43001231320103201100301
53221101211220030301
644151300542554053
72542524536200515
oct301557023412061
952117820148406
1013312122033201
114272703928a52
1215abb8a898929
13757435008024
1434044b070145
1518142b16e436
hexc1b784e1431

13312122033201 has 32 divisors (see below), whose sum is σ = 19932183330048. Its totient is φ = 7858566819840.

The previous prime is 13312122033187. The next prime is 13312122033263. The reversal of 13312122033201 is 10233022121331.

It is not a de Polignac number, because 13312122033201 - 25 = 13312122033169 is a prime.

It is a super-3 number, since 3×133121220332013 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13312122033271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92951256 + ... + 93094361.

It is an arithmetic number, because the mean of its divisors is an integer number (622880729064).

Almost surely, 213312122033201 is an apocalyptic number.

It is an amenable number.

13312122033201 is a deficient number, since it is larger than the sum of its proper divisors (6620061296847).

13312122033201 is a wasteful number, since it uses less digits than its factorization.

13312122033201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186045721.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13312122033201 its reverse (10233022121331), we get a palindrome (23545144154532).

The spelling of 13312122033201 in words is "thirteen trillion, three hundred twelve billion, one hundred twenty-two million, thirty-three thousand, two hundred one".

Divisors: 1 3 17 23 51 61 69 183 391 1037 1173 1403 3111 4209 23851 71553 186045617 558136851 3162775489 4279049191 9488326467 11348782637 12837147573 34046347911 72743836247 192929304829 218231508741 261022000651 578787914487 783066001953 4437374011067 13312122033201