Search a number
-
+
117335133 = 3213037237
BaseRepresentation
bin1101111111001…
…10010001011101
322011210020112200
412333212101131
5220014211013
615350522113
72623221636
oct677462135
9264706480
10117335133
1160261693
1233366339
131b402c96
141182488d
15a47ae73
hex6fe645d

117335133 has 6 divisors (see below), whose sum is σ = 169484094. Its totient is φ = 78223416.

The previous prime is 117335123. The next prime is 117335159. The reversal of 117335133 is 331533711.

117335133 is a `hidden beast` number, since 117 + 33 + 513 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85322169 + 32012964 = 9237^2 + 5658^2 .

It is not a de Polignac number, because 117335133 - 213 = 117326941 is a prime.

It is a super-2 number, since 2×1173351332 = 27535066872255378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 117335097 and 117335106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117335123) 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 5 ways as a sum of consecutive naturals, for example, 6518610 + ... + 6518627.

It is an arithmetic number, because the mean of its divisors is an integer number (28247349).

Almost surely, 2117335133 is an apocalyptic number.

It is an amenable number.

117335133 is a deficient number, since it is larger than the sum of its proper divisors (52148961).

117335133 is a wasteful number, since it uses less digits than its factorization.

117335133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13037243 (or 13037240 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 117335133 is about 10832.1342772327. The cubic root of 117335133 is about 489.5638670991.

Adding to 117335133 its reverse (331533711), we get a palindrome (448868844).

The spelling of 117335133 in words is "one hundred seventeen million, three hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 13037237 39111711 117335133