Base | Representation |
---|---|
bin | 100001101101100… |
… | …0000000101100100 |
3 | 2220211110110110000 |
4 | 1003123000011210 |
5 | 4304033323331 |
6 | 304124301300 |
7 | 40013426262 |
oct | 10333000544 |
9 | 2824413400 |
10 | 1131151716 |
11 | 530562032 |
12 | 2769a1830 |
13 | 150469c56 |
14 | aa32b432 |
15 | 6948b0e6 |
hex | 436c0164 |
1131151716 has 120 divisors (see below), whose sum is σ = 3061403576. Its totient is φ = 363916800.
The previous prime is 1131151649. The next prime is 1131151807. The reversal of 1131151716 is 6171511311.
1131151716 is a `hidden beast` number, since 1 + 131 + 1 + 517 + 16 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 470456100 + 660695616 = 21690^2 + 25704^2 .
It is a super-3 number, since 3×11311517163 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 1131151716.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1881816 + ... + 1882416.
Almost surely, 21131151716 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1131151716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530701788).
1131151716 is an abundant number, since it is smaller than the sum of its proper divisors (1930251860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1131151716 is a wasteful number, since it uses less digits than its factorization.
1131151716 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 811 (or 800 counting only the distinct ones).
The product of its digits is 630, while the sum is 27.
The square root of 1131151716 is about 33632.5990075106. The cubic root of 1131151716 is about 1041.9341828914.
The spelling of 1131151716 in words is "one billion, one hundred thirty-one million, one hundred fifty-one thousand, seven hundred sixteen".
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