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131216 = 2459139
BaseRepresentation
bin100000000010010000
320122222212
4200002100
513144331
62451252
71054361
oct400220
9218885
10131216
118a648
1263b28
1347957
1435b68
1528d2b
hex20090

131216 has 20 divisors (see below), whose sum is σ = 260400. Its totient is φ = 64032.

The previous prime is 131213. The next prime is 131221. The reversal of 131216 is 612131.

It is a self number, because there is not a number n which added to its sum of digits gives 131216.

It is not an unprimeable number, because it can be changed into a prime (131213) 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 3 ways as a sum of consecutive naturals, for example, 875 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2131216 is an apocalyptic number.

131216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131216 is a deficient number, since it is larger than the sum of its proper divisors (129184).

131216 is a wasteful number, since it uses less digits than its factorization.

131216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its digits is 36, while the sum is 14.

The square root of 131216 is about 362.2374911574. The cubic root of 131216 is about 50.8154292108.

Adding to 131216 its reverse (612131), we get a palindrome (743347).

The spelling of 131216 in words is "one hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 59 118 139 236 278 472 556 944 1112 2224 8201 16402 32804 65608 131216