Base | Representation |
---|---|
bin | 1111100111100… |
… | …11101010001000 |
3 | 100010112120122020 |
4 | 13303303222020 |
5 | 232020141243 |
6 | 21000124440 |
7 | 3150443505 |
oct | 763635210 |
9 | 303476566 |
10 | 131021448 |
11 | 67a5a398 |
12 | 37a66720 |
13 | 211b56ac |
14 | 135884ac |
15 | b781283 |
hex | 7cf3a88 |
131021448 has 64 divisors (see below), whose sum is σ = 352071360. Its totient is φ = 40482816.
The previous prime is 131021447. The next prime is 131021453. The reversal of 131021448 is 844120131.
It is a super-3 number, since 3×1310214483 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (131021441) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24940 + ... + 29732.
It is an arithmetic number, because the mean of its divisors is an integer number (5501115).
Almost surely, 2131021448 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 131021448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176035680).
131021448 is an abundant number, since it is smaller than the sum of its proper divisors (221049912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131021448 is a wasteful number, since it uses less digits than its factorization.
131021448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4886 (or 4882 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 24.
The square root of 131021448 is about 11446.4600641421. The cubic root of 131021448 is about 507.9030236280.
Adding to 131021448 its reverse (844120131), we get a palindrome (975141579).
The spelling of 131021448 in words is "one hundred thirty-one million, twenty-one thousand, four hundred forty-eight".
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