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131116011 = 31353229277
BaseRepresentation
bin1111101000010…
…10101111101011
3100010201101100120
413310022233223
5232031203021
621002134323
73151316265
oct764125753
9303641316
10131116011
1168014444
1237ab13a3
1321219750
14135b0b35
15b79e2c6
hex7d0abeb

131116011 has 32 divisors (see below), whose sum is σ = 193354560. Its totient is φ = 78534144.

The previous prime is 131116001. The next prime is 131116021. The reversal of 131116011 is 110611131.

It is an interprime number because it is at equal distance from previous prime (131116001) and next prime (131116021).

It is not a de Polignac number, because 131116011 - 211 = 131113963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131116001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473205 + ... + 473481.

It is an arithmetic number, because the mean of its divisors is an integer number (6042330).

Almost surely, 2131116011 is an apocalyptic number.

131116011 is a deficient number, since it is larger than the sum of its proper divisors (62238549).

131116011 is a wasteful number, since it uses less digits than its factorization.

131116011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575.

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 131116011 is about 11450.5899847999. The cubic root of 131116011 is about 508.0251850101.

Adding to 131116011 its reverse (110611131), we get a palindrome (241727142).

The spelling of 131116011 in words is "one hundred thirty-one million, one hundred sixteen thousand, eleven".

Divisors: 1 3 13 39 53 159 229 277 687 689 831 2067 2977 3601 8931 10803 12137 14681 36411 44043 63433 157781 190299 190853 473343 572559 824629 2473887 3361949 10085847 43705337 131116011