Search a number
-
+
131045020 = 22541159811
BaseRepresentation
bin1111100111110…
…01011010011100
3100010120202222021
413303321122130
5232021420040
621000425524
73150602311
oct763713234
9303522867
10131045020
1167a76077
1237a782a4
13211c3342
1413592d08
15b78824a
hex7cf969c

131045020 has 24 divisors (see below), whose sum is σ = 281908368. Its totient is φ = 51139200.

The previous prime is 131045017. The next prime is 131045023. The reversal of 131045020 is 20540131.

It is an interprime number because it is at equal distance from previous prime (131045017) and next prime (131045023).

It is a junction number, because it is equal to n+sod(n) for n = 131044985 and 131045003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131045023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79086 + ... + 80725.

It is an arithmetic number, because the mean of its divisors is an integer number (11746182).

Almost surely, 2131045020 is an apocalyptic number.

131045020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131045020 is an abundant number, since it is smaller than the sum of its proper divisors (150863348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131045020 is a wasteful number, since it uses less digits than its factorization.

131045020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159861 (or 159859 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 131045020 is about 11447.4896811484. The cubic root of 131045020 is about 507.9334806571.

Adding to 131045020 its reverse (20540131), we get a palindrome (151585151).

The spelling of 131045020 in words is "one hundred thirty-one million, forty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 159811 319622 639244 799055 1598110 3196220 6552251 13104502 26209004 32761255 65522510 131045020