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101886141 = 372693103
BaseRepresentation
bin1100001001010…
…10100010111101
321002201100111210
412010222202331
5202040324031
614035435033
72345006100
oct604524275
9232640453
10101886141
115256a625
122a155a79
1318154176
14d762737
158e28746
hex612a8bd

101886141 has 12 divisors (see below), whose sum is σ = 158027712. Its totient is φ = 58220568.

The previous prime is 101886139. The next prime is 101886157. The reversal of 101886141 is 141688101.

It is not a de Polignac number, because 101886141 - 21 = 101886139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101886099 and 101886108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101886121) 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 11 ways as a sum of consecutive naturals, for example, 346405 + ... + 346698.

It is an arithmetic number, because the mean of its divisors is an integer number (13168976).

Almost surely, 2101886141 is an apocalyptic number.

It is an amenable number.

101886141 is a deficient number, since it is larger than the sum of its proper divisors (56141571).

101886141 is an equidigital number, since it uses as much as digits as its factorization.

101886141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693120 (or 693113 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 101886141 is about 10093.8665039716. The cubic root of 101886141 is about 467.0589562520.

The spelling of 101886141 in words is "one hundred one million, eight hundred eighty-six thousand, one hundred forty-one".

Divisors: 1 3 7 21 49 147 693103 2079309 4851721 14555163 33962047 101886141