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99821385 = 32571157199
BaseRepresentation
bin1011111001100…
…10011101001001
320221211110012100
411330302131021
5201023241020
613523304013
72321316306
oct574623511
9227743170
1099821385
115138a314
122951b009
13178b0411
14d3860ad
158b6ba90
hex5f32749

99821385 has 48 divisors (see below), whose sum is σ = 177465600. Its totient is φ = 51891840.

The previous prime is 99821369. The next prime is 99821401. The reversal of 99821385 is 58312899.

It is a happy number.

99821385 is a nontrivial binomial coefficient, being equal to C(14130, 2).

It is an interprime number because it is at equal distance from previous prime (99821369) and next prime (99821401).

It is not a de Polignac number, because 99821385 - 24 = 99821369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 99821385.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501516 + ... + 501714.

It is an arithmetic number, because the mean of its divisors is an integer number (3697200).

Almost surely, 299821385 is an apocalyptic number.

99821385 is the 14129-th triangular number and also the 7065-th hexagonal number.

It is an amenable number.

99821385 is a deficient number, since it is larger than the sum of its proper divisors (77644215).

99821385 is a wasteful number, since it uses less digits than its factorization.

99821385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 435 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 99821385 is about 9991.0652585197. The cubic root of 99821385 is about 463.8823661990.

The spelling of 99821385 in words is "ninety-nine million, eight hundred twenty-one thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 71 157 199 213 355 471 597 639 785 995 1065 1413 1791 2355 2985 3195 7065 8955 11147 14129 31243 33441 42387 55735 70645 93729 100323 127161 156215 167205 211935 281187 468645 501615 635805 1405935 2218253 6654759 11091265 19964277 33273795 99821385