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13443322334431 = 11101113198753891
BaseRepresentation
bin1100001110100000010001…
…1100111100110011011111
31202121011120020200111211011
43003220010130330303133
53230223411004200211
644331435500440051
72555151026306413
oct303500434746337
952534506614734
1013443322334431
11431330aa9a170
1216114a5549027
1376691377b172
14346935b06d43
15184a5957c921
hexc3a0473ccdf

13443322334431 has 32 divisors (see below), whose sum is σ = 14949509734656. Its totient is φ = 11986860480000.

The previous prime is 13443322334371. The next prime is 13443322334437.

13443322334431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13443322334431 - 29 = 13443322333919 is a prime.

It is a super-2 number, since 2×134433223344312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13443322334437) 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 31 ways as a sum of consecutive naturals, for example, 249426996 + ... + 249480886.

It is an arithmetic number, because the mean of its divisors is an integer number (467172179208).

Almost surely, 213443322334431 is an apocalyptic number.

13443322334431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13443322334431 is a deficient number, since it is larger than the sum of its proper divisors (1506187400225).

13443322334431 is a wasteful number, since it uses less digits than its factorization.

13443322334431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56103.

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 1344332 and 2334431, that added together give a palindrome (3678763).

The spelling of 13443322334431 in words is "thirteen trillion, four hundred forty-three billion, three hundred twenty-two million, three hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 11 101 113 1111 1243 1987 11413 21857 53891 125543 200687 224531 592801 2207557 2469841 5442991 6089683 22677631 59872901 66986513 107081417 249453941 615057983 1177895587 6765637813 10815223117 12100200121 118967454287 133102201331 1222120212221 13443322334431