Search a number
-
+
2117368071 = 3271317152077
BaseRepresentation
bin111111000110100…
…0111100100000111
312110120012102221200
41332031013210013
513314021234241
6550034313543
7103320221520
oct17615074407
95416172850
102117368071
11997220a75
124b11288b3
1327988c320
141612cb847
15c5d484b6
hex7e347907

2117368071 has 48 divisors (see below), whose sum is σ = 3985660224. Its totient is φ = 1051149312.

The previous prime is 2117368049. The next prime is 2117368081. The reversal of 2117368071 is 1708637112.

It is not a de Polignac number, because 2117368071 - 210 = 2117367047 is a prime.

It is a super-2 number, since 2×21173680712 = 8966495096180522082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117368021) 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, 62116 + ... + 89961.

It is an arithmetic number, because the mean of its divisors is an integer number (83034588).

Almost surely, 22117368071 is an apocalyptic number.

2117368071 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2117368071 is a deficient number, since it is larger than the sum of its proper divisors (1868292153).

2117368071 is a wasteful number, since it uses less digits than its factorization.

2117368071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152120 (or 152117 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 2117368071 is about 46014.8679341797. The cubic root of 2117368071 is about 1284.0998244659.

The spelling of 2117368071 in words is "two billion, one hundred seventeen million, three hundred sixty-eight thousand, seventy-one".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 1071 1547 1989 4641 13923 152077 456231 1064539 1368693 1977001 2585309 3193617 5931003 7755927 9580851 13839007 17793009 18097163 23267781 33609017 41517021 54291489 100827051 124551063 162874467 235263119 302481153 705789357 2117368071