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131111013 = 3113973061
BaseRepresentation
bin1111101000010…
…01100001100101
3100010201010111110
413310021201211
5232031023023
621002055233
73151265565
oct764114145
9303633443
10131111013
1168010710
1237aaa519
13212173a7
14135acda5
15b79ca93
hex7d09865

131111013 has 8 divisors (see below), whose sum is σ = 190706976. Its totient is φ = 79461200.

The previous prime is 131111011. The next prime is 131111081. The reversal of 131111013 is 310111131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131111013 - 21 = 131111011 is a prime.

It is a super-3 number, since 3×1311110133 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111011) 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, 1986498 + ... + 1986563.

It is an arithmetic number, because the mean of its divisors is an integer number (23838372).

Almost surely, 2131111013 is an apocalyptic number.

It is an amenable number.

131111013 is a deficient number, since it is larger than the sum of its proper divisors (59595963).

131111013 is a wasteful number, since it uses less digits than its factorization.

131111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973075.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 131111013 is about 11450.3717406903. The cubic root of 131111013 is about 508.0187298052.

Adding to 131111013 its reverse (310111131), we get a palindrome (441222144).

The spelling of 131111013 in words is "one hundred thirty-one million, one hundred eleven thousand, thirteen".

Divisors: 1 3 11 33 3973061 11919183 43703671 131111013