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11221224313401 = 3261142914303281
BaseRepresentation
bin1010001101001010010100…
…0101101101001000111001
31110201201221102020012022100
42203102211011231020321
52432322031411012101
635510543112214013
72235464253625134
oct243224505551071
943651842205270
1011221224313401
113636992651993
1213128b939a309
13635206975b4b
142ab17839b21b
15146d530d8e86
hexa34a516d239

11221224313401 has 24 divisors (see below), whose sum is σ = 16485676767560. Its totient is φ = 7353030182400.

The previous prime is 11221224313399. The next prime is 11221224313421. The reversal of 11221224313401 is 10431342212211.

11221224313401 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 1 + 2 + 243 + 13 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89625989376 + 11131598324025 = 299376^2 + 3336405^2 .

It is not a de Polignac number, because 11221224313401 - 21 = 11221224313399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11221224313421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6367120 + ... + 7936161.

Almost surely, 211221224313401 is an apocalyptic number.

It is an amenable number.

11221224313401 is a deficient number, since it is larger than the sum of its proper divisors (5264452454159).

11221224313401 is a wasteful number, since it uses less digits than its factorization.

11221224313401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14304777 (or 14304774 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11221224313401 its reverse (10431342212211), we get a palindrome (21652566525612).

The spelling of 11221224313401 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-four million, three hundred thirteen thousand, four hundred one".

Divisors: 1 3 9 61 183 549 1429 4287 12861 87169 261507 784521 14303281 42909843 128729529 872500141 2617500423 7852501269 20439388549 61318165647 183954496941 1246802701489 3740408104467 11221224313401