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99321300 = 223252132653
BaseRepresentation
bin1011110101110…
…00010111010100
320220220001012200
411322320113110
5200411240200
613504444500
72314134321
oct572702724
9226801180
1099321300
1151078621
1229319730
1317766900
14d295b48
158abd800
hex5eb85d4

99321300 has 162 divisors, whose sum is σ = 337622922. Its totient is φ = 24410880.

The previous prime is 99321289. The next prime is 99321319. The reversal of 99321300 is 312399.

It can be written as a sum of positive squares in 9 ways, for example, as 76108176 + 23213124 = 8724^2 + 4818^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 151774 + ... + 152426.

Almost surely, 299321300 is an apocalyptic number.

99321300 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 99321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168811461).

99321300 is an abundant number, since it is smaller than the sum of its proper divisors (238301622).

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

99321300 is a wasteful number, since it uses less digits than its factorization.

99321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 99321300 is about 9966.0072245609. The cubic root of 99321300 is about 463.1064166135.

Adding to 99321300 its reverse (312399), we get a palindrome (99633699).

The spelling of 99321300 in words is "ninety-nine million, three hundred twenty-one thousand, three hundred".