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101382399 = 3294111971
BaseRepresentation
bin1100000101011…
…11100011111111
321001202202111200
412002233203333
5201423214044
614020550543
72340510336
oct602574377
9231682450
10101382399
1152256108
1229b52453
1318008ab1
14d670d1d
158d79369
hex60af8ff

101382399 has 12 divisors (see below), whose sum is σ = 146609112. Its totient is φ = 67510800.

The previous prime is 101382397. The next prime is 101382403. The reversal of 101382399 is 993283101.

It is not a de Polignac number, because 101382399 - 21 = 101382397 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101382397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2484 + ... + 14454.

It is an arithmetic number, because the mean of its divisors is an integer number (12217426).

Almost surely, 2101382399 is an apocalyptic number.

101382399 is a deficient number, since it is larger than the sum of its proper divisors (45226713).

101382399 is a wasteful number, since it uses less digits than its factorization.

101382399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12918 (or 12915 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 101382399 is about 10068.8827086226. The cubic root of 101382399 is about 466.2879451708.

The spelling of 101382399 in words is "one hundred one million, three hundred eighty-two thousand, three hundred ninety-nine".

Divisors: 1 3 9 941 2823 8469 11971 35913 107739 11264711 33794133 101382399