Search a number
-
+
13311311103321 = 3711179451371333
BaseRepresentation
bin1100000110110100011111…
…1110000100010101011001
31202010112211011021010210020
43001231013332010111121
53221043031120301241
644151044253541053
72542465461332460
oct301550776042531
952115734233706
1013311311103321
114272328102370
1215ab9a31a4789
13757335cc926a
143403b149b9d7
151813ced88b66
hexc1b47f84559

13311311103321 has 64 divisors (see below), whose sum is σ = 22256755845120. Its totient is φ = 6874715658240.

The previous prime is 13311311103283. The next prime is 13311311103373. The reversal of 13311311103321 is 12330111311331.

13311311103321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13311311103321 - 211 = 13311311101273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13311311103291 and 13311311103300.

It is not an unprimeable number, because it can be changed into a prime (13311311103121) 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, 186572371 + ... + 186643703.

It is an arithmetic number, because the mean of its divisors is an integer number (347761810080).

Almost surely, 213311311103321 is an apocalyptic number.

13311311103321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13311311103321 is a deficient number, since it is larger than the sum of its proper divisors (8945444741799).

13311311103321 is a wasteful number, since it uses less digits than its factorization.

13311311103321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76046.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 13311311103321 its reverse (12330111311331), we get a palindrome (25641422414652).

The spelling of 13311311103321 in words is "thirteen trillion, three hundred eleven billion, three hundred eleven million, one hundred three thousand, three hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 179 231 537 1253 1969 3759 4513 5907 13539 13783 31591 41349 49643 71333 94773 148929 213999 347501 499331 784663 807827 1042503 1497993 2353989 2423481 5492641 5654789 8886097 12768607 16477923 16964367 26658291 38305821 62202679 89380249 140454677 186608037 268140747 321925829 421364031 965777487 983182739 2253480803 2949548217 3541184119 6760442409 10623552357 24788288833 57624723391 74364866499 172874170173 403373063737 633871957301 1210119191211 1901615871903 4437103701107 13311311103321