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132332313113 = 711132341140191
BaseRepresentation
bin111101100111110011…
…1101101101000011001
3110122120110121000201222
41323033213231220121
54132004033004423
6140443112421425
712363214050020
oct1731747555031
9418513530658
10132332313113
1151138160530
12217919a7875
13c62c151770
1465951498b7
1536979b93c8
hex1ecf9eda19

132332313113 has 64 divisors (see below), whose sum is σ = 189925392384. Its totient is φ = 88824384000.

The previous prime is 132332313107. The next prime is 132332313131. The reversal of 132332313113 is 311313233231.

It is not a de Polignac number, because 132332313113 - 214 = 132332296729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132332313103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 873848 + ... + 1014038.

It is an arithmetic number, because the mean of its divisors is an integer number (2967584256).

Almost surely, 2132332313113 is an apocalyptic number.

132332313113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132332313113 is a deficient number, since it is larger than the sum of its proper divisors (57593079271).

132332313113 is a wasteful number, since it uses less digits than its factorization.

132332313113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140286.

The product of its digits is 2916, while the sum is 26.

Adding to 132332313113 its reverse (311313233231), we get a palindrome (443645546344).

The spelling of 132332313113 in words is "one hundred thirty-two billion, three hundred thirty-two million, three hundred thirteen thousand, one hundred thirteen".

Divisors: 1 7 11 13 23 41 77 91 143 161 253 287 299 451 533 943 1001 1771 2093 3157 3289 3731 5863 6601 10373 12259 23023 41041 72611 85813 134849 140191 943943 981337 1542101 1822483 3224393 5747831 10794707 12757381 20047313 22570751 35468323 40234817 41917109 63226141 74721803 132200113 140331191 248278261 293419763 442582987 461088199 523052621 821939833 925400791 1454201243 1718601469 3227617393 5753578831 10179408701 12030210283 18904616159 132332313113