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7121331217 = 7112131314937
BaseRepresentation
bin1101010000111011…
…01110010000010001
3200101022001002221001
412220131232100101
5104041030044332
63134350502001
7341321213410
oct65035562021
920338032831
107121331217
113024895600
121468b04901
138964a7a70
144b7b01477
152ba2d40e7
hex1a876e411

7121331217 has 48 divisors (see below), whose sum is σ = 9709451136. Its totient is φ = 5082105600.

The previous prime is 7121331209. The next prime is 7121331227.

7121331217 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7121331217 - 23 = 7121331209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7121331227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1439973 + ... + 1444909.

It is an arithmetic number, because the mean of its divisors is an integer number (202280232).

Almost surely, 27121331217 is an apocalyptic number.

7121331217 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

7121331217 is a deficient number, since it is larger than the sum of its proper divisors (2588119919).

7121331217 is a wasteful number, since it uses less digits than its factorization.

7121331217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5099 counting only the distinct ones).

The product of its digits is 1764, while the sum is 28.

The square root of 7121331217 is about 84387.9802874793. The cubic root of 7121331217 is about 1923.9202325473.

The spelling of 7121331217 in words is "seven billion, one hundred twenty-one million, three hundred thirty-one thousand, two hundred seventeen".

Divisors: 1 7 11 13 77 91 121 131 143 847 917 1001 1441 1573 1703 4937 10087 11011 11921 15851 18733 34559 54307 64181 110957 131131 206063 380149 449267 597377 646747 705991 1442441 4181639 4527229 4941937 7114217 7765901 8407711 49799519 54361307 58853977 78256387 92484821 547794709 647393747 1017333031 7121331217