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10131138 = 232562841
BaseRepresentation
bin100110101001…
…011011000010
3201001201022100
4212221123002
510043144023
61001051230
7152053563
oct46513302
921051270
1010131138
11579a746
123486b16
132139474
1414ba16a
15d51c43
hex9a96c2

10131138 has 12 divisors (see below), whose sum is σ = 21950838. Its totient is φ = 3377040.

The previous prime is 10131131. The next prime is 10131139. The reversal of 10131138 is 83113101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9903609 + 227529 = 3147^2 + 477^2 .

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: 562841 = 10131138 / (1 + 0 + 1 + 3 + 1 + 1 + 3 + 8).

It is a self number, because there is not a number n which added to its sum of digits gives 10131138.

It is not an unprimeable number, because it can be changed into a prime (10131131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281403 + ... + 281438.

Almost surely, 210131138 is an apocalyptic number.

10131138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10131138 is an abundant number, since it is smaller than the sum of its proper divisors (11819700).

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

10131138 is a wasteful number, since it uses less digits than its factorization.

10131138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562849 (or 562846 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10131138 is about 3182.9448628589. The cubic root of 10131138 is about 216.3811429022.

Adding to 10131138 its reverse (83113101), we get a palindrome (93244239).

The spelling of 10131138 in words is "ten million, one hundred thirty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 562841 1125682 1688523 3377046 5065569 10131138