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131199966 = 2334356503
BaseRepresentation
bin1111101000111…
…11001111011110
3100010212122112000
413310133033132
5232041344331
621004023130
73152116122
oct764371736
9303778460
10131199966
1168071527
1237b31aa6
1321248a21
14135d3582
15b7b90e6
hex7d1f3de

131199966 has 32 divisors (see below), whose sum is σ = 298341120. Its totient is φ = 42715512.

The previous prime is 131199953. The next prime is 131199989. The reversal of 131199966 is 669991131.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25930 + ... + 30573.

It is an arithmetic number, because the mean of its divisors is an integer number (9323160).

Almost surely, 2131199966 is an apocalyptic number.

131199966 is an abundant number, since it is smaller than the sum of its proper divisors (167141154).

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

131199966 is a wasteful number, since it uses less digits than its factorization.

131199966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56557 (or 56551 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 131199966 is about 11454.2553664566. The cubic root of 131199966 is about 508.1335932153.

The spelling of 131199966 in words is "one hundred thirty-one million, one hundred ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1161 2322 56503 113006 169509 339018 508527 1017054 1525581 2429629 3051162 4859258 7288887 14577774 21866661 43733322 65599983 131199966