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101138 = 261829
BaseRepresentation
bin11000101100010010
312010201212
4120230102
511214023
62100122
7600602
oct305422
9163655
10101138
1169a94
124a642
133705b
1428c02
151ee78
hex18b12

101138 has 8 divisors (see below), whose sum is σ = 154380. Its totient is φ = 49680.

The previous prime is 101119. The next prime is 101141. The reversal of 101138 is 831101.

It can be written as a sum of positive squares in 2 ways, for example, as 94249 + 6889 = 307^2 + 83^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is an Ulam number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 293 + ... + 536.

2101138 is an apocalyptic number.

101138 is a deficient number, since it is larger than the sum of its proper divisors (53242).

101138 is an equidigital number, since it uses as much as digits as its factorization.

101138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 101138 is about 318.0220118168. The cubic root of 101138 is about 46.5912955676.

Subtracting from 101138 its sum of digits (14), we obtain a square (101124 = 3182).

Adding to 101138 its reverse (831101), we get a palindrome (932239).

The spelling of 101138 in words is "one hundred one thousand, one hundred thirty-eight".

Divisors: 1 2 61 122 829 1658 50569 101138