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101382944 = 2513243709
BaseRepresentation
bin1100000101011…
…11101100100000
321001202210020212
412002233230200
5201423223234
614020553252
72340512045
oct602575440
9231683225
10101382944
1152256563
1229b52828
1318009110
14d6711cc
158d795ce
hex60afb20

101382944 has 24 divisors (see below), whose sum is σ = 214952220. Its totient is φ = 46791936.

The previous prime is 101382943. The next prime is 101382947. The reversal of 101382944 is 449283101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 96275344 + 5107600 = 9812^2 + 2260^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 101382944.

It is not an unprimeable number, because it can be changed into a prime (101382943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 121439 + ... + 122270.

Almost surely, 2101382944 is an apocalyptic number.

It is an amenable number.

101382944 is an abundant number, since it is smaller than the sum of its proper divisors (113569276).

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

101382944 is a wasteful number, since it uses less digits than its factorization.

101382944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243732 (or 243724 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 101382944 is about 10068.9097721650. The cubic root of 101382944 is about 466.2887807086.

The spelling of 101382944 in words is "one hundred one million, three hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 243709 487418 974836 1949672 3168217 3899344 6336434 7798688 12672868 25345736 50691472 101382944