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99009900 = 2232521173137
BaseRepresentation
bin1011110011011…
…00010101101100
320220022020001100
411321230111230
5200321304100
613454043100
72311366413
oct571542554
9226266040
1099009900
1150985670
12291a9490
1317687c52
14d21447a
158a5b400
hex5e6c56c

99009900 has 216 divisors, whose sum is σ = 345696624. Its totient is φ = 23500800.

The previous prime is 99009881. The next prime is 99009923. The reversal of 99009900 is 990099.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 722632 + ... + 722768.

Almost surely, 299009900 is an apocalyptic number.

99009900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99009900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172848312).

99009900 is an abundant number, since it is smaller than the sum of its proper divisors (246686724).

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

99009900 is a wasteful number, since it uses less digits than its factorization.

99009900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

The square root of 99009900 is about 9950.3718523480. The cubic root of 99009900 is about 462.6219206210.

Adding to 99009900 its reverse (990099), we get a palindrome (99999999).

Multiplying 99009900 by its reverse (990099), we get a square (98029602980100 = 99009902).

99009900 divided by its reverse (990099) gives a square (100 = 102).

The spelling of 99009900 in words is "ninety-nine million, nine thousand, nine hundred".