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101086032 = 2438325373
BaseRepresentation
bin1100000011001…
…11001101010000
321001012200222010
412001213031100
5201334223112
614010342520
72335134315
oct601471520
9231180863
10101086032
1152073483
1229a2aa40
1317c33c28
14d5d4d0c
158d1b63c
hex6067350

101086032 has 40 divisors (see below), whose sum is σ = 264295584. Its totient is φ = 33288064.

The previous prime is 101086021. The next prime is 101086039. The reversal of 101086032 is 230680101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101086039) 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 7 ways as a sum of consecutive naturals, for example, 8703 + ... + 16670.

Almost surely, 2101086032 is an apocalyptic number.

101086032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101086032 is an abundant number, since it is smaller than the sum of its proper divisors (163209552).

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

101086032 is a wasteful number, since it uses less digits than its factorization.

101086032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25467 (or 25461 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 101086032 is about 10054.1549620045. The cubic root of 101086032 is about 465.8331415847.

The spelling of 101086032 in words is "one hundred one million, eighty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 25373 50746 76119 101492 152238 202984 304476 405968 608952 1217904 2105959 4211918 6317877 8423836 12635754 16847672 25271508 33695344 50543016 101086032