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1312415316 = 223273499397
BaseRepresentation
bin100111000111001…
…1101111001010100
310101110112121100200
41032032131321110
510141434242231
6334121340500
744344226502
oct11616357124
93343477320
101312415316
11613908063
12307637730
1317bb94014
14c6433672
157a343be6
hex4e39de54

1312415316 has 36 divisors (see below), whose sum is σ = 3362946132. Its totient is φ = 431478144.

The previous prime is 1312415303. The next prime is 1312415347. The reversal of 1312415316 is 6135142131.

It is a happy number.

1312415316 is a `hidden beast` number, since 1 + 3 + 124 + 1 + 531 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1110888900 + 201526416 = 33330^2 + 14196^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1312415316.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247071 + ... + 252326.

Almost surely, 21312415316 is an apocalyptic number.

It is an amenable number.

1312415316 is an abundant number, since it is smaller than the sum of its proper divisors (2050530816).

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

1312415316 is a wasteful number, since it uses less digits than its factorization.

1312415316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499480 (or 499475 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1312415316 is about 36227.2730963842. The cubic root of 1312415316 is about 1094.8562368338.

Adding to 1312415316 its reverse (6135142131), we get a palindrome (7447557447).

The spelling of 1312415316 in words is "one billion, three hundred twelve million, four hundred fifteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 499397 998794 1498191 1997588 2996382 4494573 5992764 8989146 17978292 36455981 72911962 109367943 145823924 218735886 328103829 437471772 656207658 1312415316