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99099960300 = 223452118912497
BaseRepresentation
bin101110001001011010…
…0010110001111101100
3100110210110001120220000
41130102310112033230
53110424042212200
6113305332024300
710105534523025
oct1342264261754
9313713046800
1099099960300
1139034386a40
1217258462090
139464200c83
144b216d3c4c
1528a0201300
hex1712d163ec

99099960300 has 360 divisors, whose sum is σ = 354412784880. Its totient is φ = 23752396800.

The previous prime is 99099960299. The next prime is 99099960313. The reversal of 99099960300 is 306999099.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7923652 + ... + 7936148.

It is an arithmetic number, because the mean of its divisors is an integer number (984479958).

Almost surely, 299099960300 is an apocalyptic number.

99099960300 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 99099960300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177206392440).

99099960300 is an abundant number, since it is smaller than the sum of its proper divisors (255312824580).

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

99099960300 is a wasteful number, since it uses less digits than its factorization.

99099960300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12623 (or 12607 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 54.

The spelling of 99099960300 in words is "ninety-nine billion, ninety-nine million, nine hundred sixty thousand, three hundred".