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99831312 = 2433733013
BaseRepresentation
bin1011111001101…
…00111000010000
320221211221211000
411330310320100
5201024100222
613523422000
72321360250
oct574647020
9227757730
1099831312
1151396819
1229524900
13178b4aa9
14d389960
158b6e9ac
hex5f34e10

99831312 has 80 divisors (see below), whose sum is σ = 327498880. Its totient is φ = 28522368.

The previous prime is 99831289. The next prime is 99831313. The reversal of 99831312 is 21313899.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99831313) 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 15 ways as a sum of consecutive naturals, for example, 13483 + ... + 19530.

It is an arithmetic number, because the mean of its divisors is an integer number (4093736).

Almost surely, 299831312 is an apocalyptic number.

It is an amenable number.

99831312 is an abundant number, since it is smaller than the sum of its proper divisors (227667568).

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

99831312 is a wasteful number, since it uses less digits than its factorization.

99831312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33037 (or 33025 counting only the distinct ones).

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

The square root of 99831312 is about 9991.5620400416. The cubic root of 99831312 is about 463.8977430230.

The spelling of 99831312 in words is "ninety-nine million, eight hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 33013 66026 99039 132052 198078 231091 264104 297117 396156 462182 528208 594234 693273 792312 891351 924364 1188468 1386546 1584624 1782702 1848728 2079819 2376936 2773092 3565404 3697456 4159638 4753872 5546184 6239457 7130808 8319276 11092368 12478914 14261616 16638552 24957828 33277104 49915656 99831312