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131124124053 = 33131927770981
BaseRepresentation
bin111101000011110011…
…0110101100110010101
3110112110021011122221000
41322013212311212111
54122020233432203
6140123153013513
712321243443646
oct1720746654625
9415407148830
10131124124053
115067817117a
12214b5254299
13c498a50ab0
1464bc8c76cd
1536268b24a3
hex1e879b5995

131124124053 has 64 divisors (see below), whose sum is σ = 221009555200. Its totient is φ = 76167786240.

The previous prime is 131124124049. The next prime is 131124124057. The reversal of 131124124053 is 350421421131.

131124124053 is a `hidden beast` number, since 1 + 3 + 11 + 241 + 2 + 405 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (131124124049) and next prime (131124124057).

It is not a de Polignac number, because 131124124053 - 22 = 131124124049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131124124057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1811823 + ... + 1882803.

It is an arithmetic number, because the mean of its divisors is an integer number (3453274300).

Almost surely, 2131124124053 is an apocalyptic number.

131124124053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131124124053 is a deficient number, since it is larger than the sum of its proper divisors (89885431147).

131124124053 is a wasteful number, since it uses less digits than its factorization.

131124124053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71299 (or 71293 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 131124124053 its reverse (350421421131), we get a palindrome (481545545184).

The spelling of 131124124053 in words is "one hundred thirty-one billion, one hundred twenty-four million, one hundred twenty-four thousand, fifty-three".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 277 351 513 741 831 2223 2493 3601 5263 6669 7479 10803 15789 32409 47367 68419 70981 97227 142101 205257 212943 615771 638829 922753 1348639 1847313 1916487 2768259 4045917 8304777 12137751 17532307 19661737 24914331 36413253 52596921 58985211 157790763 176955633 255602581 373573003 473372289 530866899 766807743 1120719009 2300423229 3362157027 4856449039 6901269687 10086471081 14569347117 43708041351 131124124053