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1313130132 = 223273499669
BaseRepresentation
bin100111001000100…
…1100011010010100
310101111212220220100
41032101030122110
510142130131012
6334144534100
744353264506
oct11621143224
93344786810
101313130132
11614256116
12307921330
1317c0844a2
14c657bd76
157a4358dc
hex4e44c694

1313130132 has 36 divisors (see below), whose sum is σ = 3364777780. Its totient is φ = 431713152.

The previous prime is 1313130113. The next prime is 1313130139. The reversal of 1313130132 is 2310313131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 301508496 + 1011621636 = 17364^2 + 31806^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313130139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247207 + ... + 252462.

Almost surely, 21313130132 is an apocalyptic number.

1313130132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313130132 is an abundant number, since it is smaller than the sum of its proper divisors (2051647648).

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

1313130132 is a wasteful number, since it uses less digits than its factorization.

1313130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499752 (or 499747 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1313130132 is about 36237.1374697285. The cubic root of 1313130132 is about 1095.0549744089.

Adding to 1313130132 its reverse (2310313131), we get a palindrome (3623443263).

The spelling of 1313130132 in words is "one billion, three hundred thirteen million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 499669 999338 1499007 1998676 2998014 4497021 5996028 8994042 17988084 36475837 72951674 109427511 145903348 218855022 328282533 437710044 656565066 1313130132