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131330020 = 22537177473
BaseRepresentation
bin1111101001111…
…10111111100100
3100011010020220211
413310332333210
5232110030040
621010505204
73153200233
oct764767744
9304106824
10131330020
1168150208
1237b95204
1321292c93
1413628b1a
15b7e28ea
hex7d3efe4

131330020 has 24 divisors (see below), whose sum is σ = 283248504. Its totient is φ = 51111936.

The previous prime is 131329999. The next prime is 131330021. The reversal of 131330020 is 20033131.

It can be written as a sum of positive squares in 4 ways, for example, as 27941796 + 103388224 = 5286^2 + 10168^2 .

It is not an unprimeable number, because it can be changed into a prime (131330021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 87997 + ... + 89476.

It is an arithmetic number, because the mean of its divisors is an integer number (11802021).

Almost surely, 2131330020 is an apocalyptic number.

131330020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131330020 is an abundant number, since it is smaller than the sum of its proper divisors (151918484).

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

131330020 is a wasteful number, since it uses less digits than its factorization.

131330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177519 (or 177517 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 131330020 is about 11459.9310643651. The cubic root of 131330020 is about 508.3014362021.

Adding to 131330020 its reverse (20033131), we get a palindrome (151363151).

The spelling of 131330020 in words is "one hundred thirty-one million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 177473 354946 709892 887365 1774730 3549460 6566501 13133002 26266004 32832505 65665010 131330020