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9121797217 = 1323243109283
BaseRepresentation
bin10000111111011001…
…11001010001100001
3212112201021022101101
420133230321101201
5122140140002332
64105051434401
7442021665661
oct103754712141
925481238341
109121797217
113961020295
121926a55a01
13b24a86260
1462767c1a1
15385c39ae7
hex21fb39461

9121797217 has 48 divisors (see below), whose sum is σ = 10641843520. Its totient is φ = 7767010944.

The previous prime is 9121797211. The next prime is 9121797227. The reversal of 9121797217 is 7127971219.

It is a happy number.

9121797217 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 9121797217 - 223 = 9113408609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9121797211) 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 47 ways as a sum of consecutive naturals, for example, 32232358 + ... + 32232640.

Almost surely, 29121797217 is an apocalyptic number.

It is an amenable number.

9121797217 is a deficient number, since it is larger than the sum of its proper divisors (1520046303).

9121797217 is a wasteful number, since it uses less digits than its factorization.

9121797217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 471 counting only the distinct ones).

The product of its digits is 111132, while the sum is 46.

The square root of 9121797217 is about 95508.1002690348. The cubic root of 9121797217 is about 2089.4250852610.

The spelling of 9121797217 in words is "nine billion, one hundred twenty-one million, seven hundred ninety-seven thousand, two hundred seventeen".

Divisors: 1 13 23 43 109 283 299 529 559 989 1417 2507 3679 4687 6509 6877 12169 12857 22747 30847 32591 57661 60931 84617 107801 149707 158197 279887 295711 401011 709481 749593 1326421 1401413 1946191 2479423 3638531 6437401 9223253 16318063 17243473 30507683 32232499 83686213 212134819 396599879 701676709 9121797217