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231165117 = 3311375767
BaseRepresentation
bin11011100011101…
…00110010111101
3121002222101221000
431301310302331
5433134240432
634534400513
75504604531
oct1561646275
9532871830
10231165117
11109539857
1265500139
1338b796c1
14229b5bc1
151546357c
hexdc74cbd

231165117 has 16 divisors (see below), whose sum is σ = 345502080. Its totient is φ = 152744256.

The previous prime is 231165113. The next prime is 231165131. The reversal of 231165117 is 711561132.

231165117 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 651 + 1 + 7 = 666.

It is not a de Polignac number, because 231165117 - 22 = 231165113 is a prime.

It is a super-2 number, since 2×2311651172 = 106874622635247378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231165113) 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, 34833 + ... + 40934.

It is an arithmetic number, because the mean of its divisors is an integer number (21593880).

Almost surely, 2231165117 is an apocalyptic number.

231165117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

231165117 is a deficient number, since it is larger than the sum of its proper divisors (114336963).

231165117 is a wasteful number, since it uses less digits than its factorization.

231165117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75889 (or 75883 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 231165117 is about 15204.1151337393. The cubic root of 231165117 is about 613.7254030348.

The spelling of 231165117 in words is "two hundred thirty-one million, one hundred sixty-five thousand, one hundred seventeen".

Divisors: 1 3 9 27 113 339 1017 3051 75767 227301 681903 2045709 8561671 25685013 77055039 231165117