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131131301 = 732913183
BaseRepresentation
bin1111101000011…
…10011110100101
3100010202011022212
413310032132211
5232032200201
621002333205
73151412000
oct764163645
9303664285
10131131301
1168024984
1237aba205
13212236b2
14135b6537
15b7a3abb
hex7d0e7a5

131131301 has 16 divisors (see below), whose sum is σ = 158208000. Its totient is φ = 108514224.

The previous prime is 131131291. The next prime is 131131307. The reversal of 131131301 is 103131131.

It is a happy number.

It is not a de Polignac number, because 131131301 - 210 = 131130277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3356 + ... + 16538.

It is an arithmetic number, because the mean of its divisors is an integer number (9888000).

Almost surely, 2131131301 is an apocalyptic number.

It is an amenable number.

131131301 is a deficient number, since it is larger than the sum of its proper divisors (27076699).

131131301 is an equidigital number, since it uses as much as digits as its factorization.

131131301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13233 (or 13219 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 131131301 is about 11451.2576165240. The cubic root of 131131301 is about 508.0449319073.

Adding to 131131301 its reverse (103131131), we get a palindrome (234262432).

The spelling of 131131301 in words is "one hundred thirty-one million, one hundred thirty-one thousand, three hundred one".

Divisors: 1 7 29 49 203 343 1421 9947 13183 92281 382307 645967 2676149 4521769 18733043 131131301