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131003301 = 31113305369
BaseRepresentation
bin1111100111011…
…11001110100101
3100010111122202010
413303233032211
5232014101201
620555504433
73150336552
oct763571645
9303448663
10131003301
1167a477a0
1237a58119
13211aa360
1413581a29
15b77abd6
hex7cef3a5

131003301 has 16 divisors (see below), whose sum is σ = 205208640. Its totient is φ = 73288320.

The previous prime is 131003287. The next prime is 131003311. The reversal of 131003301 is 103300131.

It is not a de Polignac number, because 131003301 - 29 = 131002789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003311) 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, 152256 + ... + 153113.

It is an arithmetic number, because the mean of its divisors is an integer number (12825540).

Almost surely, 2131003301 is an apocalyptic number.

131003301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131003301 is a deficient number, since it is larger than the sum of its proper divisors (74205339).

131003301 is a wasteful number, since it uses less digits than its factorization.

131003301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305396.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 131003301 is about 11445.6673462057. The cubic root of 131003301 is about 507.8795736716.

Adding to 131003301 its reverse (103300131), we get a palindrome (234303432).

The spelling of 131003301 in words is "one hundred thirty-one million, three thousand, three hundred one".

Divisors: 1 3 11 13 33 39 143 429 305369 916107 3359059 3969797 10077177 11909391 43667767 131003301