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1311121314 = 232531374341
BaseRepresentation
bin100111000100110…
…0001111110100010
310101101002212022200
41032021201332202
510141121340224
6334033514030
744330230056
oct11611417642
93341085280
101311121314
11613103938
12307112916
1317b830039
14c61b7c66
157a18a5c9
hex4e261fa2

1311121314 has 24 divisors (see below), whose sum is σ = 2894364252. Its totient is φ = 428794080.

The previous prime is 1311121313. The next prime is 1311121321. The reversal of 1311121314 is 4131211131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1301405625 + 9715689 = 36075^2 + 3117^2 .

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 (1311121313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 686217 + ... + 688124.

Almost surely, 21311121314 is an apocalyptic number.

1311121314 is an abundant number, since it is smaller than the sum of its proper divisors (1583242938).

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

1311121314 is a wasteful number, since it uses less digits than its factorization.

1311121314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374402 (or 1374399 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1311121314 is about 36209.4091915347. The cubic root of 1311121314 is about 1094.4962867426.

Adding to 1311121314 its reverse (4131211131), we get a palindrome (5442332445).

The spelling of 1311121314 in words is "one billion, three hundred eleven million, one hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 1374341 2748682 4123023 8246046 12369069 24738138 72840073 145680146 218520219 437040438 655560657 1311121314