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14331222213341 = 1117101758787643
BaseRepresentation
bin1101000010001011111101…
…1010001100001011011101
31212202001101111221202101112
43100202333122030023131
53334300320341311331
650251401140351405
73006253021615115
oct320427732141335
955661344852345
1014331222213341
114625923363990
1217355a13a5565
137cc575418ab7
143778c608c045
1519cbc465d32b
hexd08bf68c2dd

14331222213341 has 16 divisors (see below), whose sum is σ = 16717609372608. Its totient is φ = 12140602272000.

The previous prime is 14331222213311. The next prime is 14331222213361.

14331222213341 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14331222213341 - 218 = 14331221951197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14331222213298 and 14331222213307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14331222213311) 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 15 ways as a sum of consecutive naturals, for example, 379374935 + ... + 379412708.

It is an arithmetic number, because the mean of its divisors is an integer number (1044850585788).

Almost surely, 214331222213341 is an apocalyptic number.

14331222213341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14331222213341 is a deficient number, since it is larger than the sum of its proper divisors (2386387159267).

14331222213341 is a wasteful number, since it uses less digits than its factorization.

14331222213341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758787772.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 1433122 and 2213341, that added together give a palindrome (3646463).

The spelling of 14331222213341 in words is "fourteen trillion, three hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, three hundred forty-one".

Divisors: 1 11 17 101 187 1111 1717 18887 758787643 8346664073 12899389931 76637551943 141893289241 843013071373 1302838383031 14331222213341