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131481475749 = 33131919715321
BaseRepresentation
bin111101001110011101…
…0000001101010100101
3110120101011121000022000
41322130322001222211
54123233224210444
6140222440155513
712333143050431
oct1723472015245
9416334530260
10131481475749
1150840957858
1221594a68b99
13c524aac2c0
1465141499c1
153647e4e469
hex1e9ce81aa5

131481475749 has 32 divisors (see below), whose sum is σ = 220811606400. Its totient is φ = 76653164160.

The previous prime is 131481475721. The next prime is 131481475789. The reversal of 131481475749 is 947574184131.

131481475749 is a `hidden beast` number, since 1 + 31 + 481 + 47 + 57 + 49 = 666.

It is not a de Polignac number, because 131481475749 - 216 = 131481410213 is a prime.

It is a super-2 number, since 2×1314814757492 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131481475695 and 131481475704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131481475709) 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 31 ways as a sum of consecutive naturals, for example, 9850992 + ... + 9864329.

It is an arithmetic number, because the mean of its divisors is an integer number (6900362700).

Almost surely, 2131481475749 is an apocalyptic number.

131481475749 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

131481475749 is a deficient number, since it is larger than the sum of its proper divisors (89330130651).

131481475749 is a wasteful number, since it uses less digits than its factorization.

131481475749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19715362 (or 19715356 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 131481475749 in words is "one hundred thirty-one billion, four hundred eighty-one million, four hundred seventy-five thousand, seven hundred forty-nine".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 513 741 2223 6669 19715321 59145963 177437889 256299173 374591099 532313667 768897519 1123773297 2306692557 3371319891 4869684287 6920077671 10113959673 14609052861 43827158583 131481475749