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14320222202341 = 1121011171771721
BaseRepresentation
bin1101000001100010111111…
…0000011110100111100101
31212200222222220111022001201
43100120233300132213211
53334110303340433331
650242341432122501
73005413312225156
oct320305760364745
955628886438051
1014320222202341
114621199118900
121733431536431
137cb5114b9453
143771611b792d
1519c77dabaa61
hexd062fc1e9e5

14320222202341 has 12 divisors (see below), whose sum is σ = 15896255180652. Its totient is φ = 12889488920000.

The previous prime is 14320222202333. The next prime is 14320222202369.

14320222202341 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 13632865137441 + 687357064900 = 3692271^2 + 829070^2 .

It is not a de Polignac number, because 14320222202341 - 23 = 14320222202333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14320222202311) 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 11 ways as a sum of consecutive naturals, for example, 585873640 + ... + 585898081.

It is an arithmetic number, because the mean of its divisors is an integer number (1324687931721).

Almost surely, 214320222202341 is an apocalyptic number.

14320222202341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14320222202341 is a deficient number, since it is larger than the sum of its proper divisors (1576032978311).

14320222202341 is a wasteful number, since it uses less digits than its factorization.

14320222202341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171771844 (or 1171771833 counting only the distinct ones).

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

It can be divided in two parts, 1432022 and 2202341, that added together give a palindrome (3634363).

The spelling of 14320222202341 in words is "fourteen trillion, three hundred twenty billion, two hundred twenty-two million, two hundred two thousand, three hundred forty-one".

Divisors: 1 11 101 121 1111 12221 1171771721 12889488931 118348943821 141784378241 1301838382031 14320222202341