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131124142641 = 3751118749031
BaseRepresentation
bin111101000011110011…
…0111010001000110001
3110112110021012121102110
41322013212322020301
54122020240031031
6140123153235533
712321243552102
oct1720746721061
9415407177373
10131124142641
1150678184138
12214b5262ba9
13c498a593ab
1464bc8d03a9
1536268b7c46
hex1e879ba231

131124142641 has 16 divisors (see below), whose sum is σ = 175216048128. Its totient is φ = 87224370000.

The previous prime is 131124142627. The next prime is 131124142703. The reversal of 131124142641 is 146241421131.

It is not a de Polignac number, because 131124142641 - 229 = 130587271729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131124142599 and 131124142608.

It is not an unprimeable number, because it can be changed into a prime (131124142441) 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 15 ways as a sum of consecutive naturals, for example, 2649796 + ... + 2698826.

It is an arithmetic number, because the mean of its divisors is an integer number (10951003008).

Almost surely, 2131124142641 is an apocalyptic number.

It is an amenable number.

131124142641 is a deficient number, since it is larger than the sum of its proper divisors (44091905487).

131124142641 is a wasteful number, since it uses less digits than its factorization.

131124142641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50972.

The product of its digits is 4608, while the sum is 30.

Adding to 131124142641 its reverse (146241421131), we get a palindrome (277365563772).

The spelling of 131124142641 in words is "one hundred thirty-one billion, one hundred twenty-four million, one hundred forty-two thousand, six hundred forty-one".

Divisors: 1 3 751 1187 2253 3561 49031 147093 891437 2674311 36822281 58199797 110466843 174599391 43708047547 131124142641