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131200011 = 32592111171
BaseRepresentation
bin1111101000111…
…11010000001011
3100010212122120200
413310133100023
5232041400021
621004023243
73152116215
oct764372013
9303778520
10131200011
1168071568
1237b31b23
1321248a57
14135d35b5
15b7b9126
hex7d1f40b

131200011 has 24 divisors (see below), whose sum is σ = 193801920. Its totient is φ = 85503600.

The previous prime is 131200007. The next prime is 131200057. The reversal of 131200011 is 110002131.

It is not a de Polignac number, because 131200011 - 22 = 131200007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 131199966 and 131200002.

It is not an unprimeable number, because it can be changed into a prime (131200411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111456 + ... + 112626.

It is an arithmetic number, because the mean of its divisors is an integer number (8075080).

Almost surely, 2131200011 is an apocalyptic number.

131200011 is a deficient number, since it is larger than the sum of its proper divisors (62601909).

131200011 is a wasteful number, since it uses less digits than its factorization.

131200011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 131200011 is about 11454.2573307919. The cubic root of 131200011 is about 508.1336513099.

Adding to 131200011 its reverse (110002131), we get a palindrome (241202142).

The spelling of 131200011 in words is "one hundred thirty-one million, two hundred thousand, eleven".

Divisors: 1 3 9 59 177 211 531 633 1171 1899 3513 10539 12449 37347 69089 112041 207267 247081 621801 741243 2223729 14577779 43733337 131200011