Base | Representation |
---|---|
bin | 10011000100111101111… |
… | …000110010101011101110 |
3 | 11122022221002001011221000 |
4 | 103010331320302223232 |
5 | 132434413322314433 |
6 | 2442133331021130 |
7 | 163500612244536 |
oct | 23047570625356 |
9 | 4568832034830 |
10 | 1311003323118 |
11 | 465aa221a765 |
12 | 1920b843a7a6 |
13 | 9681c916518 |
14 | 4764aa824c6 |
15 | 2417ee1e113 |
hex | 1313de32aee |
1311003323118 has 64 divisors (see below), whose sum is σ = 3111020236800. Its totient is φ = 408321375840.
The previous prime is 1311003323117. The next prime is 1311003323137. The reversal of 1311003323118 is 8113233001131.
It is a happy number.
1311003323118 is a `hidden beast` number, since 1 + 3 + 1 + 10 + 0 + 332 + 311 + 8 = 666.
It is a super-2 number, since 2×13110033231182 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 1311003323091 and 1311003323100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1311003323117) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13454146 + ... + 13551237.
It is an arithmetic number, because the mean of its divisors is an integer number (48609691200).
Almost surely, 21311003323118 is an apocalyptic number.
1311003323118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
1311003323118 is an abundant number, since it is smaller than the sum of its proper divisors (1800016913682).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1311003323118 is a wasteful number, since it uses less digits than its factorization.
1311003323118 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27005454 (or 27005448 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 27.
Adding to 1311003323118 its reverse (8113233001131), we get a palindrome (9424236324249).
The spelling of 1311003323118 in words is "one trillion, three hundred eleven billion, three million, three hundred twenty-three thousand, one hundred eighteen".
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