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1132132013 = 231511811801
BaseRepresentation
bin100001101111010…
…1111011010101101
32220220022021011022
41003132233122231
54304311211023
6304201303525
740024651265
oct10336573255
92826267138
101132132013
115310715a1
12277194ba5
131507211cc
14aa5047a5
15695d17c8
hex437af6ad

1132132013 has 16 divisors (see below), whose sum is σ = 1196412672. Its totient is φ = 1069200000.

The previous prime is 1132132007. The next prime is 1132132033. The reversal of 1132132013 is 3102312311.

It is a cyclic number.

It is not a de Polignac number, because 1132132013 - 212 = 1132127917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1132131982 and 1132132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132132033) 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 15 ways as a sum of consecutive naturals, for example, 627713 + ... + 629513.

It is an arithmetic number, because the mean of its divisors is an integer number (74775792).

Almost surely, 21132132013 is an apocalyptic number.

It is an amenable number.

1132132013 is a deficient number, since it is larger than the sum of its proper divisors (64280659).

1132132013 is a wasteful number, since it uses less digits than its factorization.

1132132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1132132013 is about 33647.1694649045. The cubic root of 1132132013 is about 1042.2350886023.

Adding to 1132132013 its reverse (3102312311), we get a palindrome (4234444324).

It can be divided in two parts, 11321 and 32013, that added together give a palindrome (43334).

The spelling of 1132132013 in words is "one billion, one hundred thirty-two million, one hundred thirty-two thousand, thirteen".

Divisors: 1 23 151 181 1801 3473 4163 27331 41423 271951 325981 628613 6254873 7497563 49223131 1132132013