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131208 = 23371171
BaseRepresentation
bin100000000010001000
320122222120
4200002020
513144313
62451240
71054350
oct400210
9218876
10131208
118a640
1263b20
134794c
1435b60
1528d23
hex20088

131208 has 64 divisors (see below), whose sum is σ = 414720. Its totient is φ = 33600.

The previous prime is 131203. The next prime is 131213. The reversal of 131208 is 802131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131203) and next prime (131213).

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

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 15 ways as a sum of consecutive naturals, for example, 1813 + ... + 1883.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2131208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360).

131208 is an abundant number, since it is smaller than the sum of its proper divisors (283512).

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

131208 is a wasteful number, since it uses less digits than its factorization.

131208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131208 is about 362.2264485098. The cubic root of 131208 is about 50.8143964819.

Adding to 131208 its reverse (802131), we get a palindrome (933339).

It can be divided in two parts, 13 and 1208, that added together give a palindrome (1221).

The spelling of 131208 in words is "one hundred thirty-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 71 77 84 88 132 142 154 168 213 231 264 284 308 426 462 497 568 616 781 852 924 994 1491 1562 1704 1848 1988 2343 2982 3124 3976 4686 5467 5964 6248 9372 10934 11928 16401 18744 21868 32802 43736 65604 131208