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1313011332 = 223236472537
BaseRepresentation
bin100111001000010…
…1111011010000100
310101111122212221100
41032100233122010
510142112330312
6334142220100
744352261243
oct11620573204
93344585840
101313011332
11614184936
12307884630
1317c0423a9
14c654a95a
157a4105dc
hex4e42f684

1313011332 has 18 divisors (see below), whose sum is σ = 3319000958. Its totient is φ = 437670432.

The previous prime is 1313011331. The next prime is 1313011333. The reversal of 1313011332 is 2331103131.

It is a happy number.

1313011332 is a `hidden beast` number, since 1 + 31 + 301 + 1 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (1313011331) and next prime (1313011333).

It can be written as a sum of positive squares in only one way, i.e., 954439236 + 358572096 = 30894^2 + 18936^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is not an unprimeable number, because it can be changed into a prime (1313011331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18236233 + ... + 18236304.

Almost surely, 21313011332 is an apocalyptic number.

1313011332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1313011332 is an abundant number, since it is smaller than the sum of its proper divisors (2005989626).

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

1313011332 is a wasteful number, since it uses less digits than its factorization.

1313011332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36472547 (or 36472542 counting only the distinct ones).

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

The square root of 1313011332 is about 36235.4982303266. The cubic root of 1313011332 is about 1095.0219498946.

Adding to 1313011332 its reverse (2331103131), we get a palindrome (3644114463).

The spelling of 1313011332 in words is "one billion, three hundred thirteen million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 36472537 72945074 109417611 145890148 218835222 328252833 437670444 656505666 1313011332