Search a number
-
+
99009000090099 = 3311333363636667
BaseRepresentation
bin10110100000110001010100…
…010001111010100111110011
3110222120011112110011001102000
4112200301110101322213303
5100434130413010340344
6550324035015225043
726566110214661031
oct2640612421724763
9428504473131360
1099009000090099
1129602532434180
12b130735978183
13433267c65c708
141a640bdc05551
15b6a6b8251a69
hex5a0c5447a9f3

99009000090099 has 16 divisors (see below), whose sum is σ = 160014545600640. Its totient is φ = 60005454599880.

The previous prime is 99009000090037. The next prime is 99009000090101.

99009000090099 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 99009000090099 - 225 = 99008966535667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99009000090599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166681818037 + ... + 166681818630.

It is an arithmetic number, because the mean of its divisors is an integer number (10000909100040).

Almost surely, 299009000090099 is an apocalyptic number.

99009000090099 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

99009000090099 is a deficient number, since it is larger than the sum of its proper divisors (61005545510541).

99009000090099 is a wasteful number, since it uses less digits than its factorization.

99009000090099 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333363636687 (or 333363636681 counting only the distinct ones).

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

The spelling of 99009000090099 in words is "ninety-nine trillion, nine billion, ninety thousand, ninety-nine".

Divisors: 1 3 9 11 27 33 99 297 333363636667 1000090910001 3000272730003 3667000003337 9000818190009 11001000010011 33003000030033 99009000090099