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105131833 = 268939097
BaseRepresentation
bin1100100010000…
…10111100111001
321022211020202121
412101002330321
5203403204313
614233201241
72414414542
oct621027471
9238736677
10105131833
1154387114
122b260221
1318a1c5b1
14dd694c9
15936a28d
hex6442f39

105131833 has 4 divisors (see below), whose sum is σ = 105173620. Its totient is φ = 105090048.

The previous prime is 105131821. The next prime is 105131849. The reversal of 105131833 is 338131501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 19254544 + 85877289 = 4388^2 + 9267^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105131833 is a prime.

It is a super-2 number, since 2×1051318332 = 22105404619879778, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105131798 and 105131807.

It is not an unprimeable number, because it can be changed into a prime (105131813) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 16860 + ... + 22237.

It is an arithmetic number, because the mean of its divisors is an integer number (26293405).

Almost surely, 2105131833 is an apocalyptic number.

It is an amenable number.

105131833 is a deficient number, since it is larger than the sum of its proper divisors (41787).

105131833 is an equidigital number, since it uses as much as digits as its factorization.

105131833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41786.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 105131833 is about 10253.3815397653. The cubic root of 105131833 is about 471.9667591859.

The spelling of 105131833 in words is "one hundred five million, one hundred thirty-one thousand, eight hundred thirty-three".

Divisors: 1 2689 39097 105131833