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9109109201 = 172193197829
BaseRepresentation
bin10000111101111000…
…11111100111010001
3212111211101200200212
420132330133213101
5122123412443301
64103515453505
7441506102453
oct103674374721
925454350625
109109109201
113954944625
121922757295
13b2226305a
14625ad82d3
15384a804bb
hex21ef1f9d1

9109109201 has 24 divisors (see below), whose sum is σ = 9787761720. Its totient is φ = 8475328512.

The previous prime is 9109109171. The next prime is 9109109209. The reversal of 9109109201 is 1029019019.

It can be written as a sum of positive squares in 12 ways, for example, as 145564225 + 8963544976 = 12065^2 + 94676^2 .

It is a de Polignac number, because none of the positive numbers 2k-9109109201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9109109209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10987655 + ... + 10988483.

It is an arithmetic number, because the mean of its divisors is an integer number (407823405).

Almost surely, 29109109201 is an apocalyptic number.

It is an amenable number.

9109109201 is a deficient number, since it is larger than the sum of its proper divisors (678652519).

9109109201 is a wasteful number, since it uses less digits than its factorization.

9109109201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 32.

The square root of 9109109201 is about 95441.6533857204. The cubic root of 9109109201 is about 2088.4558698200.

The spelling of 9109109201 in words is "nine billion, one hundred nine million, one hundred nine thousand, two hundred one".

Divisors: 1 17 193 197 289 829 3281 3349 14093 38021 55777 56933 159997 163313 239581 646357 2719949 2776321 10988069 31519409 46239133 47197457 535829953 9109109201