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131333301 = 32111969821
BaseRepresentation
bin1111101001111…
…11110010110101
3100011010102102100
413310333302311
5232110131201
621010532313
73153212631
oct764776265
9304112370
10131333301
1168152720
1237b97099
1321294618
1413629dc1
15b7e3886
hex7d3fcb5

131333301 has 24 divisors (see below), whose sum is σ = 217844640. Its totient is φ = 75405600.

The previous prime is 131333287. The next prime is 131333303. The reversal of 131333301 is 103333131.

131333301 is a `hidden beast` number, since 1 + 31 + 333 + 301 = 666.

It is not a de Polignac number, because 131333301 - 213 = 131325109 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33030 + ... + 36791.

It is an arithmetic number, because the mean of its divisors is an integer number (9076860).

Almost surely, 2131333301 is an apocalyptic number.

131333301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131333301 is a deficient number, since it is larger than the sum of its proper divisors (86511339).

131333301 is a wasteful number, since it uses less digits than its factorization.

131333301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69857 (or 69854 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 131333301 is about 11460.0742144194. The cubic root of 131333301 is about 508.3056691087.

Adding to 131333301 its reverse (103333131), we get a palindrome (234666432).

The spelling of 131333301 in words is "one hundred thirty-one million, three hundred thirty-three thousand, three hundred one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 69821 209463 628389 768031 1326599 2304093 3979797 6912279 11939391 14592589 43777767 131333301