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99099000100 = 22522934172069
BaseRepresentation
bin101110001001011000…
…0101011110100100100
3100110210101020210202001
41130102300223310210
53110423321000400
6113305255255044
710105523413432
oct1342260536444
9313711223661
1099099000100
1139033890591
121725807a484
139463c55bc9
144b21523d52
1528a00b1a6a
hex1712c2bd24

99099000100 has 36 divisors (see below), whose sum is σ = 222460175700. Its totient is φ = 38272716160.

The previous prime is 99099000067. The next prime is 99099000107. The reversal of 99099000100 is 100099099.

It can be written as a sum of positive squares in 6 ways, for example, as 15069924 + 99083930176 = 3882^2 + 314776^2 .

It is a super-2 number, since 2×990990001002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99099000100.

It is not an unprimeable number, because it can be changed into a prime (99099000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17083135 + ... + 17088934.

It is an arithmetic number, because the mean of its divisors is an integer number (6179449325).

Almost surely, 299099000100 is an apocalyptic number.

It is an amenable number.

99099000100 is an abundant number, since it is smaller than the sum of its proper divisors (123361175600).

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

99099000100 is a wasteful number, since it uses less digits than its factorization.

99099000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34172112 (or 34172105 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 37.

Adding to 99099000100 its reverse (100099099), we get a palindrome (99199099199).

The spelling of 99099000100 in words is "ninety-nine billion, ninety-nine million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 34172069 68344138 136688276 170860345 341720690 683441380 854301725 990990001 1708603450 1981980002 3417206900 3963960004 4954950005 9909900010 19819800020 24774750025 49549500050 99099000100