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9990909901 = 723269349661
BaseRepresentation
bin10010100111000000…
…10010111111001101
3221210021122210212001
421103200102333031
5130430133104101
64331215512301
7502404222130
oct112340227715
927707583761
109990909901
114267676535
121b29b28691
13c32b56b0b
146aac78217
153d71b4901
hex253812fcd

9990909901 has 32 divisors (see below), whose sum is σ = 12011328000. Its totient is φ = 8125159680.

The previous prime is 9990909899. The next prime is 9990909931. The reversal of 9990909901 is 1099090999.

It is a happy number.

9990909901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 9990909901 - 21 = 9990909899 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9990909931) 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 31 ways as a sum of consecutive naturals, for example, 15114511 + ... + 15115171.

It is an arithmetic number, because the mean of its divisors is an integer number (375354000).

Almost surely, 29990909901 is an apocalyptic number.

It is an amenable number.

9990909901 is a deficient number, since it is larger than the sum of its proper divisors (2020418099).

9990909901 is a wasteful number, since it uses less digits than its factorization.

9990909901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309.

The product of its (nonzero) digits is 531441, while the sum is 55.

The square root of 9990909901 is about 99954.5391715654. The cubic root of 9990909901 is about 2153.7816913104.

The spelling of 9990909901 in words is "nine billion, nine hundred ninety million, nine hundred nine thousand, nine hundred one".

Divisors: 1 7 23 161 269 349 661 1883 2443 4627 6187 8027 15203 43309 56189 93881 106421 177809 230689 657167 1244663 1614823 2159263 4089607 5305847 15114841 28627249 37140929 62055341 434387387 1427272843 9990909901