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131211306 = 23311321503
BaseRepresentation
bin1111101001000…
…10000000101010
3100010220020002000
413310202000222
5232042230211
621004151430
73152164152
oct764420052
9303806060
10131211306
1168079aa6
1237b38576
1321250c35
14135d7762
15b7bc656
hex7d2202a

131211306 has 32 divisors (see below), whose sum is σ = 294174720. Its totient is φ = 43348032.

The previous prime is 131211281. The next prime is 131211307. The reversal of 131211306 is 603112131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131211307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4650 + ... + 16853.

It is an arithmetic number, because the mean of its divisors is an integer number (9192960).

Almost surely, 2131211306 is an apocalyptic number.

131211306 is an abundant number, since it is smaller than the sum of its proper divisors (162963414).

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

131211306 is a wasteful number, since it uses less digits than its factorization.

131211306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21627 (or 21621 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131211306 is about 11454.7503682970. The cubic root of 131211306 is about 508.1482326219.

Adding to 131211306 its reverse (603112131), we get a palindrome (734323437).

The spelling of 131211306 in words is "one hundred thirty-one million, two hundred eleven thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 6102 21503 43006 64509 129018 193527 387054 580581 1161162 2429839 4859678 7289517 14579034 21868551 43737102 65605653 131211306