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1144220420013 = 311131409364667
BaseRepresentation
bin10000101001101000110…
…110100000011110101101
311001101102200120212002120
4100221220312200132231
5122221330411420023
62233351514343153
7145444564044606
oct20515066403655
94041380525076
101144220420013
11401296663060
1216591112aab9
1383b90335b88
143d5483a4dad
151eb6cc4c8e3
hex10a68da07ad

1144220420013 has 32 divisors (see below), whose sum is σ = 1677461018112. Its totient is φ = 687994507200.

The previous prime is 1144220419967. The next prime is 1144220420069. The reversal of 1144220420013 is 3100240224411.

It is not a de Polignac number, because 1144220420013 - 225 = 1144186865581 is a prime.

It is a super-2 number, since 2×11442204200132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144220420113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17661706 + ... + 17726372.

It is an arithmetic number, because the mean of its divisors is an integer number (52420656816).

Almost surely, 21144220420013 is an apocalyptic number.

It is an amenable number.

1144220420013 is a deficient number, since it is larger than the sum of its proper divisors (533240598099).

1144220420013 is a wasteful number, since it uses less digits than its factorization.

1144220420013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68905.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1144220420013 its reverse (3100240224411), we get a palindrome (4244460644424).

The spelling of 1144220420013 in words is "one trillion, one hundred forty-four billion, two hundred twenty million, four hundred twenty thousand, thirteen".

Divisors: 1 3 11 33 131 393 1441 4093 4323 12279 45023 64667 135069 194001 536183 711337 1608549 2134011 5898013 8471377 17694039 25414131 93185147 264682031 279555441 794046093 2911502341 8734507023 34673346061 104020038183 381406806671 1144220420013