Search a number
-
+
11221424330320 = 245140267804129
BaseRepresentation
bin1010001101001011000100…
…0000101101011001010000
31110201202110100121002221101
42203102301000231121100
52432322434112032240
635511015015234144
72235502233012631
oct243226100553120
943652410532841
1011221424330320
113636a85546626
121312954378954
13635239237a59
142ab196b85888
15146d6594839a
hexa34b102d650

11221424330320 has 20 divisors (see below), whose sum is σ = 26089811568180. Its totient is φ = 4488569732096.

The previous prime is 11221424330297. The next prime is 11221424330321. The reversal of 11221424330320 is 2303342412211.

It can be written as a sum of positive squares in 2 ways, for example, as 5119793188416 + 6101631141904 = 2262696^2 + 2470148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221424330321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70133901985 + ... + 70133902144.

It is an arithmetic number, because the mean of its divisors is an integer number (1304490578409).

Almost surely, 211221424330320 is an apocalyptic number.

11221424330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221424330320 is an abundant number, since it is smaller than the sum of its proper divisors (14868387237860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11221424330320 is a wasteful number, since it uses less digits than its factorization.

11221424330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140267804142 (or 140267804136 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 11221424330320 its reverse (2303342412211), we get a palindrome (13524766742531).

The spelling of 11221424330320 in words is "eleven trillion, two hundred twenty-one billion, four hundred twenty-four million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 140267804129 280535608258 561071216516 701339020645 1122142433032 1402678041290 2244284866064 2805356082580 5610712165160 11221424330320