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2117118231 = 32538575179
BaseRepresentation
bin111111000110000…
…1010100100010111
312110112201202020100
41332030022210113
513313440240411
6550025105143
7103315131234
oct17614124427
95415652210
102117118231
11997070298
124b10281b3
132798026a7
1416126478b
15c5ce9456
hex7e30a917

2117118231 has 24 divisors (see below), whose sum is σ = 3119996880. Its totient is φ = 1382898816.

The previous prime is 2117118229. The next prime is 2117118253. The reversal of 2117118231 is 1328117112.

2117118231 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2117118231 - 21 = 2117118229 is a prime.

It is a super-2 number, since 2×21171182312 = 8964379208065138722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2117118195 and 2117118204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117118131) 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, 406200 + ... + 411378.

It is an arithmetic number, because the mean of its divisors is an integer number (129999870).

Almost surely, 22117118231 is an apocalyptic number.

2117118231 is a deficient number, since it is larger than the sum of its proper divisors (1002878649).

2117118231 is a wasteful number, since it uses less digits than its factorization.

2117118231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6095 (or 6092 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 2117118231 is about 46012.1530793768. The cubic root of 2117118231 is about 1284.0493164597.

The spelling of 2117118231 in words is "two billion, one hundred seventeen million, one hundred eighteen thousand, two hundred thirty-one".

Divisors: 1 3 9 53 159 477 857 2571 5179 7713 15537 45421 46611 136263 274487 408789 823461 2470383 4438403 13315209 39945627 235235359 705706077 2117118231