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9009010901 = 114717425553
BaseRepresentation
bin10000110001111101…
…01001100011010101
3212020212001011122102
420120332221203111
5121422301322101
64045542211445
7436152220622
oct103076514325
925225034572
109009010901
113903396260
1218b5123b85
13b075b68a7
146166bd349
1537adab86b
hex218fa98d5

9009010901 has 8 divisors (see below), whose sum is σ = 10037119104. Its totient is φ = 8015753920.

The previous prime is 9009010859. The next prime is 9009010919. The reversal of 9009010901 is 1090109009.

9009010901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9009010901 - 214 = 9008994517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9009010931) 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 7 ways as a sum of consecutive naturals, for example, 8712260 + ... + 8713293.

It is an arithmetic number, because the mean of its divisors is an integer number (1254639888).

Almost surely, 29009010901 is an apocalyptic number.

It is an amenable number.

9009010901 is a deficient number, since it is larger than the sum of its proper divisors (1028108203).

9009010901 is a wasteful number, since it uses less digits than its factorization.

9009010901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17425611.

The product of its (nonzero) digits is 729, while the sum is 29.

The square root of 9009010901 is about 94915.8095419304. The cubic root of 9009010901 is about 2080.7777925890. Note that the first 4 decimals are identical.

The spelling of 9009010901 in words is "nine billion, nine million, ten thousand, nine hundred one".

Divisors: 1 11 47 517 17425553 191681083 819000991 9009010901