Search a number
-
+
1330322000013 = 32376759626283
BaseRepresentation
bin10011010110111101010…
…111101100100010001101
311201011210102112122120200
4103112331113230202031
5133243444413000023
62455050321204113
7165053422265646
oct23267527544215
94634712478520
101330322000013
114732060a6636
121959aa190639
13985ab0c0b96
14485606926cd
1524910e56743
hex135bd5ec88d

1330322000013 has 24 divisors (see below), whose sum is σ = 2002966132128. Its totient is φ = 850032276192.

The previous prime is 1330321999987. The next prime is 1330322000017. The reversal of 1330322000013 is 3100002230331.

1330322000013 is a `hidden beast` number, since 1 + 330 + 322 + 0 + 0 + 0 + 0 + 13 = 666.

It is not a de Polignac number, because 1330322000013 - 228 = 1330053564557 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1330322000013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330322000017) 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 23 ways as a sum of consecutive naturals, for example, 29790831 + ... + 29835452.

It is an arithmetic number, because the mean of its divisors is an integer number (83456922172).

Almost surely, 21330322000013 is an apocalyptic number.

It is an amenable number.

1330322000013 is a deficient number, since it is larger than the sum of its proper divisors (672644132115).

1330322000013 is a wasteful number, since it uses less digits than its factorization.

1330322000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59626393 (or 59626390 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1330322000013 its reverse (3100002230331), we get a palindrome (4430324230344).

The spelling of 1330322000013 in words is "one trillion, three hundred thirty billion, three hundred twenty-two million, thirteen", and thus it is an aban number.

Divisors: 1 3 9 37 67 111 201 333 603 2479 7437 22311 59626283 178878849 536636547 2206172471 3994960961 6618517413 11984882883 19855552239 35954648649 147813555557 443440666671 1330322000013