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14331022013341 = 111901685334131
BaseRepresentation
bin1101000010001011001101…
…1110011111001110011101
31212202000212120020112121201
43100202303132133032131
53334244413113411331
650251325225355501
73006245041135465
oct320426336371635
955660776215551
1014331022013341
114625830354740
121735546338b91
137cc542ac1767
143778a7656ba5
1519cbb1cb4a61
hexd08b379f39d

14331022013341 has 8 divisors (see below), whose sum is σ = 15642066228768. Its totient is φ = 13021348470000.

The previous prime is 14331022013327. The next prime is 14331022013369.

14331022013341 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14331022013341 - 231 = 14328874529693 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14331022013311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342646155 + ... + 342687976.

It is an arithmetic number, because the mean of its divisors is an integer number (1955258278596).

Almost surely, 214331022013341 is an apocalyptic number.

14331022013341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14331022013341 is a deficient number, since it is larger than the sum of its proper divisors (1311044215427).

14331022013341 is a wasteful number, since it uses less digits than its factorization.

14331022013341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685336043.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 1433102 and 2013341, that added together give a palindrome (3446443).

The spelling of 14331022013341 in words is "fourteen trillion, three hundred thirty-one billion, twenty-two million, thirteen thousand, three hundred forty-one".

Divisors: 1 11 1901 20911 685334131 7538675441 1302820183031 14331022013341