Base | Representation |
---|---|
bin | 1111101001111… |
… | …11011110110100 |
3 | 100011010100122220 |
4 | 13310333132310 |
5 | 232110111040 |
6 | 21010522340 |
7 | 3153206121 |
oct | 764773664 |
9 | 304110586 |
10 | 131332020 |
11 | 68151766 |
12 | 37b963b0 |
13 | 21293b71 |
14 | 13629748 |
15 | b7e32d0 |
hex | 7d3f7b4 |
131332020 has 96 divisors (see below), whose sum is σ = 380007936. Its totient is φ = 33868800.
The previous prime is 131331997. The next prime is 131332031. The reversal of 131332020 is 20233131.
It is a Harshad number since it is a multiple of its sum of digits (15).
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 31 ways as a sum of consecutive naturals, for example, 484485 + ... + 484755.
It is an arithmetic number, because the mean of its divisors is an integer number (3958416).
Almost surely, 2131332020 is an apocalyptic number.
131332020 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 131332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190003968).
131332020 is an abundant number, since it is smaller than the sum of its proper divisors (248675916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131332020 is a wasteful number, since it uses less digits than its factorization.
131332020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 521 (or 519 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 131332020 is about 11460.0183245927. The cubic root of 131332020 is about 508.3040164645.
Adding to 131332020 its reverse (20233131), we get a palindrome (151565151).
It can be divided in two parts, 1313 and 32020, that added together give a palindrome (33333).
The spelling of 131332020 in words is "one hundred thirty-one million, three hundred thirty-two thousand, twenty".
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