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131146704 = 243213217317
BaseRepresentation
bin1111101000100…
…10001111010000
3100010202221110100
413310102033100
5232033143304
621002532400
73151504623
oct764221720
9303687410
10131146704
1168035507
1237b07100
132122a700
14135bbdba
15b7a8439
hex7d123d0

131146704 has 180 divisors, whose sum is σ = 422139276. Its totient is φ = 37859328.

The previous prime is 131146699. The next prime is 131146733. The reversal of 131146704 is 407641131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 31945104 + 99201600 = 5652^2 + 9960^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 413554 + ... + 413870.

Almost surely, 2131146704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131146704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211069638).

131146704 is an abundant number, since it is smaller than the sum of its proper divisors (290992572).

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

131146704 is a wasteful number, since it uses less digits than its factorization.

131146704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 131146704 is about 11451.9301429934. The cubic root of 131146704 is about 508.0648231909.

Adding to 131146704 its reverse (407641131), we get a palindrome (538787835).

The spelling of 131146704 in words is "one hundred thirty-one million, one hundred forty-six thousand, seven hundred four".