Base | Representation |
---|---|
bin | 111101000110101110… |
… | …0001101011010010100 |
3 | 110112201002100100021020 |
4 | 1322031130031122110 |
5 | 4122220313020200 |
6 | 140141010521140 |
7 | 12323542415235 |
oct | 1721534153224 |
9 | 415632310236 |
10 | 131222001300 |
11 | 50718442865 |
12 | 21521b961b0 |
13 | c4b3100320 |
14 | 64cb8c508c |
15 | 3630297ea0 |
hex | 1e8d70d694 |
131222001300 has 144 divisors (see below), whose sum is σ = 409018821120. Its totient is φ = 32289384960.
The previous prime is 131222001283. The next prime is 131222001319. The reversal of 131222001300 is 3100222131.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 131222001300.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18088474 + ... + 18095726.
It is an arithmetic number, because the mean of its divisors is an integer number (2840408480).
Almost surely, 2131222001300 is an apocalyptic number.
131222001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131222001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204509410560).
131222001300 is an abundant number, since it is smaller than the sum of its proper divisors (277796819820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131222001300 is a wasteful number, since it uses less digits than its factorization.
131222001300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11922 (or 11915 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 131222001300 its reverse (3100222131), we get a palindrome (134322223431).
The spelling of 131222001300 in words is "one hundred thirty-one billion, two hundred twenty-two million, one thousand, three hundred".
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