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12302244220321 = 1141101270076271
BaseRepresentation
bin1011001100000101011011…
…1001011000110110100001
31121120002020112220100001201
42303001112321120312201
53103024444010022241
642055323432401201
72406544036340266
oct263012671306641
947502215810051
1012302244220321
113a13397164040
121468310846201
136b31344635c3
14307608bcd26d
15165022633931
hexb3056e58da1

12302244220321 has 16 divisors (see below), whose sum is σ = 13884080990976. Its totient is φ = 10803050800000.

The previous prime is 12302244220319. The next prime is 12302244220351.

12302244220321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12302244220321 - 21 = 12302244220319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12302244220321.

It is not an unprimeable number, because it can be changed into a prime (12302244220351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134992585 + ... + 135083686.

It is an arithmetic number, because the mean of its divisors is an integer number (867755061936).

Almost surely, 212302244220321 is an apocalyptic number.

12302244220321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12302244220321 is a deficient number, since it is larger than the sum of its proper divisors (1581836770655).

12302244220321 is a wasteful number, since it uses less digits than its factorization.

12302244220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270076424.

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 1230224 and 4220321, that added together give a palindrome (5450545).

The spelling of 12302244220321 in words is "twelve trillion, three hundred two billion, two hundred forty-four million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 11 41 101 451 1111 4141 45551 270076271 2970838981 11073127111 27277703371 121804398221 300054737081 1118385838211 12302244220321