Search a number
-
+
117182901 = 31128112637
BaseRepresentation
bin1101111110000…
…01000110110101
322011111111201110
412333001012311
5214444323101
615343345233
72622016053
oct677010665
9264444643
10117182901
1160168280
12332b2219
131b37b8c4
14117c51d3
15a44acd6
hex6fc11b5

117182901 has 16 divisors (see below), whose sum is σ = 171067968. Its totient is φ = 70761600.

The previous prime is 117182867. The next prime is 117182903. The reversal of 117182901 is 109281711.

It is not a de Polignac number, because 117182901 - 211 = 117180853 is a prime.

It is a super-3 number, since 3×1171829013 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117182903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2955 + ... + 15591.

It is an arithmetic number, because the mean of its divisors is an integer number (10691748).

Almost surely, 2117182901 is an apocalyptic number.

117182901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

117182901 is a deficient number, since it is larger than the sum of its proper divisors (53885067).

117182901 is a wasteful number, since it uses less digits than its factorization.

117182901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12932.

The product of its (nonzero) digits is 1008, while the sum is 30.

The square root of 117182901 is about 10825.1051265103. The cubic root of 117182901 is about 489.3520534708.

The spelling of 117182901 in words is "one hundred seventeen million, one hundred eighty-two thousand, nine hundred one".

Divisors: 1 3 11 33 281 843 3091 9273 12637 37911 139007 417021 3550997 10652991 39060967 117182901