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909900009909 = 33113063636397
BaseRepresentation
bin11010011110110100100…
…01000101000110110101
310012222121111101200202000
431033122101011012311
5104401433400304114
61534000255005513
7122511112321122
oct15173221050665
93188544350660
10909900009909
1132098291a870
12128417809899
1367a59837437
143207a15b749
1518a06737e09
hexd3da4451b5

909900009909 has 16 divisors (see below), whose sum is σ = 1470545471040. Its totient is φ = 551454551280.

The previous prime is 909900009869. The next prime is 909900009959.

909900009909 is nontrivially palindromic in base 10.

909900009909 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 909900009909 - 217 = 909899878837 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (909900009959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531817902 + ... + 1531818495.

It is an arithmetic number, because the mean of its divisors is an integer number (91909091940).

Almost surely, 2909900009909 is an apocalyptic number.

909900009909 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

909900009909 is a deficient number, since it is larger than the sum of its proper divisors (560645461131).

909900009909 is a wasteful number, since it uses less digits than its factorization.

909900009909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063636417 (or 3063636411 counting only the distinct ones).

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

It can be divided in two parts, 90990000 and 9909, that added together give a palindrome (90999909).

The spelling of 909900009909 in words is "nine hundred nine billion, nine hundred million, nine thousand, nine hundred nine".

Divisors: 1 3 9 11 27 33 99 297 3063636397 9190909191 27572727573 33700000367 82718182719 101100001101 303300003303 909900009909