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1213444011114 = 23359647588667
BaseRepresentation
bin10001101010000110111…
…001100011010001101010
311022000002222222122012000
4101222012321203101222
5124340113131323424
62325240512231430
7153445162624506
oct21520671432152
94260088878160
101213444011114
11428689567685
1217720bb3b576
138a57296a47a
1442a33c33306
15218700e63c9
hex11a86e6346a

1213444011114 has 64 divisors (see below), whose sum is σ = 2746489420800. Its totient is φ = 397010478384.

The previous prime is 1213444011103. The next prime is 1213444011119. The reversal of 1213444011114 is 4111104443121.

1213444011114 is a `hidden beast` number, since 1 + 213 + 4 + 440 + 1 + 1 + 1 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1213444011119) 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, 1767009 + ... + 2355675.

It is an arithmetic number, because the mean of its divisors is an integer number (42913897200).

Almost surely, 21213444011114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213444011114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373244710400).

1213444011114 is an abundant number, since it is smaller than the sum of its proper divisors (1533045409686).

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

1213444011114 is a wasteful number, since it uses less digits than its factorization.

1213444011114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589384 (or 589378 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1213444011114 its reverse (4111104443121), we get a palindrome (5324548454235).

The spelling of 1213444011114 in words is "one trillion, two hundred thirteen billion, four hundred forty-four million, eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 647 1062 1294 1593 1941 3186 3882 5823 11646 17469 34938 38173 76346 114519 229038 343557 588667 687114 1030671 1177334 1766001 2061342 3532002 5298003 10596006 15894009 31788018 34731353 69462706 104194059 208388118 312582177 380867549 625164354 761735098 937746531 1142602647 1875493062 2285205294 3427807941 6855615882 10283423823 20566847646 22471185391 44942370782 67413556173 134827112346 202240668519 404481337038 606722005557 1213444011114