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12244433444221 = 111398008131749
BaseRepresentation
bin1011001000101110000100…
…0110110001110101111101
31121100120000121201121221011
42302023201012301311331
53101103044430203341
642013003131035221
72402426322010456
oct262134106616575
947316017647834
1012244433444221
1139a0920516330
121459077b9bb11
136aa850433b94
143048c2db012d
1516378c1beb81
hexb22e11b1d7d

12244433444221 has 8 divisors (see below), whose sum is σ = 13453661340000. Its totient is φ = 11051221812240.

The previous prime is 12244433444167. The next prime is 12244433444323.

12244433444221 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 12244433444221 - 235 = 12210073705853 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 (12244433444021) 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 7 ways as a sum of consecutive naturals, for example, 4004064346 + ... + 4004067403.

It is an arithmetic number, because the mean of its divisors is an integer number (1681707667500).

Almost surely, 212244433444221 is an apocalyptic number.

12244433444221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12244433444221 is a deficient number, since it is larger than the sum of its proper divisors (1209227895779).

12244433444221 is a wasteful number, since it uses less digits than its factorization.

12244433444221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008131899.

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 1224443 and 3444221, that added together give a palindrome (4668664).

The spelling of 12244433444221 in words is "twelve trillion, two hundred forty-four billion, four hundred thirty-three million, four hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 11 139 1529 8008131749 88089449239 1113130313111 12244433444221