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131004018 = 2327278001
BaseRepresentation
bin1111100111011…
…11011001110010
3100010111200201200
413303233121302
5232014112033
620555512030
73150341625
oct763573162
9303450650
10131004018
1167a48292
1237a58616
13211aa792
1413581dbc
15b77b013
hex7cef672

131004018 has 12 divisors (see below), whose sum is σ = 283842078. Its totient is φ = 43668000.

The previous prime is 131004011. The next prime is 131004037. The reversal of 131004018 is 810400131.

It can be written as a sum of positive squares in only one way, i.e., 127306089 + 3697929 = 11283^2 + 1923^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7278001 = 131004018 / (1 + 3 + 1 + 0 + 0 + 4 + 0 + 1 + 8).

It is not an unprimeable number, because it can be changed into a prime (131004011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3638983 + ... + 3639018.

Almost surely, 2131004018 is an apocalyptic number.

131004018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131004018 is an abundant number, since it is smaller than the sum of its proper divisors (152838060).

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

131004018 is a wasteful number, since it uses less digits than its factorization.

131004018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7278009 (or 7278006 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 131004018 is about 11445.6986680587. The cubic root of 131004018 is about 507.8805002360.

Adding to 131004018 its reverse (810400131), we get a palindrome (941404149).

The spelling of 131004018 in words is "one hundred thirty-one million, four thousand, eighteen".

Divisors: 1 2 3 6 9 18 7278001 14556002 21834003 43668006 65502009 131004018