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132510442041 = 32232414315787
BaseRepresentation
bin111101101101000111…
…1001110001000111001
3110200000212202220200200
41323122033032020321
54132340133121131
6140512514352413
712400506113235
oct1733217161071
9420025686620
10132510442041
115121976541a
122182158b709
13c65a01bab3
1465b0a775c5
1536a84532e6
hex1eda3ce239

132510442041 has 72 divisors (see below), whose sum is σ = 209747874336. Its totient is φ = 80516177280.

The previous prime is 132510442037. The next prime is 132510442049. The reversal of 132510442041 is 140244015231.

132510442041 is a `hidden beast` number, since 132 + 5 + 104 + 420 + 4 + 1 = 666.

It is not a de Polignac number, because 132510442041 - 22 = 132510442037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132510441996 and 132510442014.

It is not an unprimeable number, because it can be changed into a prime (132510442049) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8385750 + ... + 8401536.

Almost surely, 2132510442041 is an apocalyptic number.

It is an amenable number.

132510442041 is a deficient number, since it is larger than the sum of its proper divisors (77237432295).

132510442041 is a wasteful number, since it uses less digits than its factorization.

132510442041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15923 (or 15897 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 132510442041 its reverse (140244015231), we get a palindrome (272754457272).

The spelling of 132510442041 in words is "one hundred thirty-two billion, five hundred ten million, four hundred forty-two thousand, forty-one".

Divisors: 1 3 9 23 41 43 69 123 129 207 369 387 529 943 989 1587 1763 2829 2967 4761 5289 8487 8901 15787 15867 21689 22747 40549 47361 65067 68241 121647 142083 195201 204723 363101 364941 647267 678841 932627 1089303 1941801 2036523 2797881 3267909 5825403 6109569 8351323 8393643 14887141 15613343 25053969 27832481 44661423 46840029 75161907 83497443 133984269 140520087 250492329 342404243 359106889 640147063 1027212729 1077320667 1920441189 3081638187 3231962001 5761323567 14723382449 44170147347 132510442041