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99090009099 = 33101269913463
BaseRepresentation
bin101110001001000111…
…0011000110000001011
3100110202202100000102000
41130102032120300023
53110414020242344
6113304334442043
710105354115544
oct1342216306013
9313682300360
1099090009099
11390297aa504
1217255063323
1394621286a3
144b202634cb
15289e3d7a69
hex1712398c0b

99090009099 has 32 divisors (see below), whose sum is σ = 148319424000. Its totient is φ = 65376856800.

The previous prime is 99090009079. The next prime is 99090009113.

99090009099 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-99090009099 is a prime.

It is a super-3 number, since 3×990900090993 (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (99090009019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7353442 + ... + 7366904.

It is an arithmetic number, because the mean of its divisors is an integer number (4634982000).

Almost surely, 299090009099 is an apocalyptic number.

99090009099 is a deficient number, since it is larger than the sum of its proper divisors (49229414901).

99090009099 is a wasteful number, since it uses less digits than its factorization.

99090009099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16272 (or 16266 counting only the distinct ones).

The product of its (nonzero) digits is 531441, while the sum is 54.

The spelling of 99090009099 in words is "ninety-nine billion, ninety million, nine thousand, ninety-nine".

Divisors: 1 3 9 27 101 303 909 2699 2727 8097 13463 24291 40389 72873 121167 272599 363501 817797 1359763 2453391 4079289 7360173 12237867 36336637 36713601 109009911 327029733 981089199 3670000337 11010001011 33030003033 99090009099