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131120111 = 318814801
BaseRepresentation
bin1111101000010…
…11101111101111
3100010201120222102
413310023233233
5232031320421
621002205315
73151334243
oct764135757
9303646872
10131120111
1168017531
1237ab383b
132121b585
14135b2423
15b7a060b
hex7d0bbef

131120111 has 8 divisors (see below), whose sum is σ = 135531648. Its totient is φ = 126720000.

The previous prime is 131120089. The next prime is 131120179. The reversal of 131120111 is 111021131.

It is a happy number.

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 131120111 - 218 = 130857967 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131120092 and 131120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131120611) 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, 24911 + ... + 29711.

It is an arithmetic number, because the mean of its divisors is an integer number (16941456).

Almost surely, 2131120111 is an apocalyptic number.

131120111 is a deficient number, since it is larger than the sum of its proper divisors (4411537).

131120111 is an equidigital number, since it uses as much as digits as its factorization.

131120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 131120111 is about 11450.7690134768. The cubic root of 131120111 is about 508.0304802738.

Adding to 131120111 its reverse (111021131), we get a palindrome (242141242).

The spelling of 131120111 in words is "one hundred thirty-one million, one hundred twenty thousand, one hundred eleven".

Divisors: 1 31 881 4801 27311 148831 4229681 131120111