Search a number
-
+
133506241 = 1197211593
BaseRepresentation
bin1111111010100…
…10010011000001
3100022012211010121
413331102103001
5233134144431
621125300241
73210533011
oct775222301
9308184117
10133506241
11693a7240
1238864681
132187569b
1413a33c41
15bac2611
hex7f524c1

133506241 has 16 divisors (see below), whose sum is σ = 148091328. Its totient is φ = 119347200.

The previous prime is 133506239. The next prime is 133506251. The reversal of 133506241 is 142605331.

It is a cyclic number.

It is not a de Polignac number, because 133506241 - 21 = 133506239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133506221) 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, 224841 + ... + 225433.

It is an arithmetic number, because the mean of its divisors is an integer number (9255708).

Almost surely, 2133506241 is an apocalyptic number.

133506241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133506241 is a deficient number, since it is larger than the sum of its proper divisors (14585087).

133506241 is a wasteful number, since it uses less digits than its factorization.

133506241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 133506241 is about 11554.4900796184. The cubic root of 133506241 is about 511.0936941642.

It can be divided in two parts, 13350 and 6241, that added together give a palindrome (19591).

The spelling of 133506241 in words is "one hundred thirty-three million, five hundred six thousand, two hundred forty-one".

Divisors: 1 11 97 211 593 1067 2321 6523 20467 57521 125123 225137 632731 1376353 12136931 133506241