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131044440131 = 1138893063289
BaseRepresentation
bin111101000001011011…
…0110111100001000011
3110112020201020022010122
41322002312313201003
54121334334041011
6140111225050455
712316255235213
oct1720266674103
9415221208118
10131044440131
11506371964a0
1221492626a2b
13c4853a1547
1464b20a4243
15361e8c23db
hex1e82db7843

131044440131 has 8 divisors (see below), whose sum is σ = 142994377200. Its totient is φ = 119100637440.

The previous prime is 131044440103. The next prime is 131044440179.

It is a happy number.

131044440131 is nontrivially palindromic in base 10.

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 131044440131 - 218 = 131044177987 is a prime.

It is a super-2 number, since 2×1310444401312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131044440131.

It is not an unprimeable number, because it can be changed into a prime (131044440431) 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 7 ways as a sum of consecutive naturals, for example, 1488866 + ... + 1574423.

It is an arithmetic number, because the mean of its divisors is an integer number (17874297150).

Almost surely, 2131044440131 is an apocalyptic number.

131044440131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131044440131 is a deficient number, since it is larger than the sum of its proper divisors (11949937069).

131044440131 is a wasteful number, since it uses less digits than its factorization.

131044440131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067189.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 131044 and 440131, that added together give a palindrome (571175).

The spelling of 131044440131 in words is "one hundred thirty-one billion, forty-four million, four hundred forty thousand, one hundred thirty-one".

Divisors: 1 11 3889 42779 3063289 33696179 11913130921 131044440131