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131041040 = 24513126001
BaseRepresentation
bin1111100111110…
…00011100010000
3100010120120111212
413303320130100
5232021303130
621000355252
73150554564
oct763703420
9303516455
10131041040
1167a73089
1237a75b28
13211c15a0
14135916a4
15b786e95
hex7cf8710

131041040 has 40 divisors (see below), whose sum is σ = 328109208. Its totient is φ = 48384000.

The previous prime is 131041037. The next prime is 131041073. The reversal of 131041040 is 40140131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1263376 + 129777664 = 1124^2 + 11392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61961 + ... + 64040.

Almost surely, 2131041040 is an apocalyptic number.

131041040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131041040 is an abundant number, since it is smaller than the sum of its proper divisors (197068168).

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

131041040 is a wasteful number, since it uses less digits than its factorization.

131041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126027 (or 126021 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 131041040 is about 11447.3158425895. The cubic root of 131041040 is about 507.9283384148.

Adding to 131041040 its reverse (40140131), we get a palindrome (171181171).

Subtracting from 131041040 its reverse (40140131), we obtain a palindrome (90900909).

The spelling of 131041040 in words is "one hundred thirty-one million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 126001 252002 504004 630005 1008008 1260010 1638013 2016016 2520020 3276026 5040040 6552052 8190065 10080080 13104104 16380130 26208208 32760260 65520520 131041040