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131288208 = 2435351607
BaseRepresentation
bin1111101001101…
…00110010010000
3100011001010120020
413310310302100
5232102210313
621005543440
73152634312
oct764646220
9304033506
10131288208
1168121857
1237b74b80
1321279c3c
14136177b2
15b7d5323
hex7d34c90

131288208 has 40 divisors (see below), whose sum is σ = 345567168. Its totient is φ = 42936192.

The previous prime is 131288207. The next prime is 131288231. The reversal of 131288208 is 802882131.

It is not an unprimeable number, because it can be changed into a prime (131288207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23260 + ... + 28347.

Almost surely, 2131288208 is an apocalyptic number.

It is an amenable number.

131288208 is an abundant number, since it is smaller than the sum of its proper divisors (214278960).

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

131288208 is a wasteful number, since it uses less digits than its factorization.

131288208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51671 (or 51665 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 131288208 is about 11458.1066498789. The cubic root of 131288208 is about 508.2474872382.

The spelling of 131288208 in words is "one hundred thirty-one million, two hundred eighty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 51607 103214 154821 206428 309642 412856 619284 825712 1238568 2477136 2735171 5470342 8205513 10940684 16411026 21881368 32822052 43762736 65644104 131288208