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131266115442 = 232711197963097
BaseRepresentation
bin111101001000000010…
…0011111011101110010
3110112211011100120111100
41322100010133131302
54122313111143232
6140145224225230
712324616400010
oct1722004373562
9415734316440
10131266115442
1150740333430
122153490b216
13c4bc2a7677
1464d36c98b0
1536340adc7c
hex1e9011f772

131266115442 has 192 divisors, whose sum is σ = 377982259200. Its totient is φ = 31891242240.

The previous prime is 131266115369. The next prime is 131266115471. The reversal of 131266115442 is 244511662131.

131266115442 is a `hidden beast` number, since 1 + 31 + 2 + 6 + 611 + 5 + 4 + 4 + 2 = 666.

It is a super-3 number, since 3×1312661154423 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131266115397 and 131266115406.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2048838 + ... + 2111934.

It is an arithmetic number, because the mean of its divisors is an integer number (1968657600).

Almost surely, 2131266115442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131266115442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188991129600).

131266115442 is an abundant number, since it is smaller than the sum of its proper divisors (246716143758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131266115442 is a wasteful number, since it uses less digits than its factorization.

131266115442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63221 (or 63218 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 131266115442 its reverse (244511662131), we get a palindrome (375777777573).

The spelling of 131266115442 in words is "one hundred thirty-one billion, two hundred sixty-six million, one hundred fifteen thousand, four hundred forty-two".