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1320111013 = 1317192313669
BaseRepresentation
bin100111010101111…
…0100101110100101
310102000000120212111
41032223310232211
510200422023023
6334554321021
744466521104
oct11653645645
93360016774
101320111013
11618193a41
1230a129171
13180659aa0
14c747803b
157ad6400d
hex4eaf4ba5

1320111013 has 32 divisors (see below), whose sum is σ = 1653523200. Its totient is φ = 1039205376.

The previous prime is 1320110971. The next prime is 1320111031. The reversal of 1320111013 is 3101110231.

It is not a de Polignac number, because 1320111013 - 213 = 1320102821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1320110984 and 1320111002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320111053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89743 + ... + 103411.

It is an arithmetic number, because the mean of its divisors is an integer number (51672600).

Almost surely, 21320111013 is an apocalyptic number.

1320111013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1320111013 is a deficient number, since it is larger than the sum of its proper divisors (333412187).

1320111013 is a wasteful number, since it uses less digits than its factorization.

1320111013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13741.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1320111013 is about 36333.3319831804. The cubic root of 1320111013 is about 1096.9920613836.

Adding to 1320111013 its reverse (3101110231), we get a palindrome (4421221244).

The spelling of 1320111013 in words is "one billion, three hundred twenty million, one hundred eleven thousand, thirteen".

Divisors: 1 13 17 19 23 221 247 299 323 391 437 4199 5083 5681 7429 13669 96577 177697 232373 259711 314387 3020849 3376243 4087031 4415087 5344579 5973353 57396131 69479527 77653589 101547001 1320111013