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2117155117 = 711177715473
BaseRepresentation
bin111111000110001…
…0011100100101101
312110112210121211111
41332030103210231
513313442430432
6550025552021
7103315343620
oct17614234455
95415717744
102117155117
11997095a80
124b1045611
1327981640c
14161273db7
15c5d05347
hex7e31392d

2117155117 has 16 divisors (see below), whose sum is σ = 2641226112. Its totient is φ = 1648696320.

The previous prime is 2117155111. The next prime is 2117155141. The reversal of 2117155117 is 7115517112.

It is a cyclic number.

It is not a de Polignac number, because 2117155117 - 27 = 2117154989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117155111) 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 15 ways as a sum of consecutive naturals, for example, 129093 + ... + 144565.

It is an arithmetic number, because the mean of its divisors is an integer number (165076632).

Almost surely, 22117155117 is an apocalyptic number.

It is an amenable number.

2117155117 is a deficient number, since it is larger than the sum of its proper divisors (524070995).

2117155117 is a wasteful number, since it uses less digits than its factorization.

2117155117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17268.

The product of its digits is 2450, while the sum is 31.

The square root of 2117155117 is about 46012.5539065156. The cubic root of 2117155117 is about 1284.0567736354.

The spelling of 2117155117 in words is "two billion, one hundred seventeen million, one hundred fifty-five thousand, one hundred seventeen".

Divisors: 1 7 11 77 1777 12439 15473 19547 108311 136829 170203 1191421 27495521 192468647 302450731 2117155117