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131122 = 2531237
BaseRepresentation
bin100000000000110010
320122212101
4200000302
513143442
62451014
71054165
oct400062
9218771
10131122
118a572
1263a6a
13478b4
1435adc
1528cb7
hex20032

131122 has 8 divisors (see below), whose sum is σ = 200556. Its totient is φ = 64272.

The previous prime is 131113. The next prime is 131129. The reversal of 131122 is 221131.

It can be written as a sum of positive squares in 2 ways, for example, as 123201 + 7921 = 351^2 + 89^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×1311223 = 6763133331683544, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131099 and 131108.

It is not an unprimeable number, because it can be changed into a prime (131129) by changing a digit.

131122 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 513 + ... + 724.

2131122 is an apocalyptic number.

131122 is a deficient number, since it is larger than the sum of its proper divisors (69434).

131122 is a wasteful number, since it uses less digits than its factorization.

131122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292.

The product of its digits is 12, while the sum is 10.

The square root of 131122 is about 362.1077187799. The cubic root of 131122 is about 50.8032919932.

Adding to 131122 its reverse (221131), we get a palindrome (352253).

Subtracting 131122 from its reverse (221131), we obtain a palindrome (90009).

It can be divided in two parts, 131 and 122, that added together give a triangular number (253 = T22).

The spelling of 131122 in words is "one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 53 106 1237 2474 65561 131122