Search a number
-
+
131754233 = 1317235069
BaseRepresentation
bin1111101101001…
…10100011111001
3100011220210211102
413312212203321
5232212113413
621023541145
73156615062
oct766464371
9304823742
10131754233
116840a9a6
123815a7b5
13213b10b0
14136d9569
15b878458
hex7da68f9

131754233 has 12 divisors (see below), whose sum is σ = 150730860. Its totient is φ = 114461952.

The previous prime is 131754229. The next prime is 131754239. The reversal of 131754233 is 332457131.

It can be written as a sum of positive squares in 6 ways, for example, as 23843689 + 107910544 = 4883^2 + 10388^2 .

It is not a de Polignac number, because 131754233 - 22 = 131754229 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131754196 and 131754205.

It is not an unprimeable number, because it can be changed into a prime (131754239) 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 11 ways as a sum of consecutive naturals, for example, 13778 + ... + 21291.

It is an arithmetic number, because the mean of its divisors is an integer number (12560905).

Almost surely, 2131754233 is an apocalyptic number.

131754233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131754233 is a deficient number, since it is larger than the sum of its proper divisors (18976627).

131754233 is a wasteful number, since it uses less digits than its factorization.

131754233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35116 (or 35099 counting only the distinct ones).

The product of its digits is 7560, while the sum is 29.

The square root of 131754233 is about 11478.4246741441. The cubic root of 131754233 is about 508.8481411723.

The spelling of 131754233 in words is "one hundred thirty-one million, seven hundred fifty-four thousand, two hundred thirty-three".

Divisors: 1 13 17 221 289 3757 35069 455897 596173 7750249 10134941 131754233