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131202 = 23237197
BaseRepresentation
bin100000000010000010
320122222100
4200002002
513144302
62451230
71054341
oct400202
9218870
10131202
118a635
1263b16
1347946
1435b58
1528d1c
hex20082

131202 has 24 divisors (see below), whose sum is σ = 293436. Its totient is φ = 42336.

The previous prime is 131171. The next prime is 131203. The reversal of 131202 is 202131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95481 + 35721 = 309^2 + 189^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (131203) by changing a digit.

131202 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568 + ... + 764.

2131202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146718).

131202 is an abundant number, since it is smaller than the sum of its proper divisors (162234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131202 is a wasteful number, since it uses less digits than its factorization.

131202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131202 is about 362.2181663031. The cubic root of 131202 is about 50.8136219076.

Adding to 131202 its reverse (202131), we get a palindrome (333333).

It can be divided in two parts, 131 and 202, that multiplied together give a palindrome (26462).

The spelling of 131202 in words is "one hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 197 222 333 394 591 666 1182 1773 3546 7289 14578 21867 43734 65601 131202