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11357 = 41277
BaseRepresentation
bin10110001011101
3120120122
42301131
5330412
6124325
745053
oct26135
916518
1011357
118595
1266a5
135228
1441d3
153572
hex2c5d

11357 has 4 divisors (see below), whose sum is σ = 11676. Its totient is φ = 11040.

The previous prime is 11353. The next prime is 11369. The reversal of 11357 is 75311.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 75311 = 127593.

It can be written as a sum of positive squares in 2 ways, for example, as 1156 + 10201 = 34^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 11357 - 22 = 11353 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11351) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (2919).

211357 is an apocalyptic number.

It is an amenable number.

11357 is a deficient number, since it is larger than the sum of its proper divisors (319).

11357 is an equidigital number, since it uses as much as digits as its factorization.

11357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318.

The product of its digits is 105, while the sum is 17.

The square root of 11357 is about 106.5692263273. The cubic root of 11357 is about 22.4778382609.

Adding to 11357 its reverse (75311), we get a palindrome (86668).

It can be divided in two parts, 113 and 57, that multiplied together give a triangular number (6441 = T113).

The spelling of 11357 in words is "eleven thousand, three hundred fifty-seven".

Divisors: 1 41 277 11357