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132112333030032 = 2432612246559193
BaseRepresentation
bin11110000010011111001100…
…101011100100001010010000
3122022202211000122021022122200
4132002133030223210022100
5114304012024223430112
61144551322401403200
736553541525210025
oct3602371453441220
9568684018238580
10132112333030032
113910558691a113
1212998309039500
1358941a77847a4
14248a3b1a1b54c
1510418293b6cdc
hex7827ccae4290

132112333030032 has 90 divisors (see below), whose sum is σ = 375891572653506. Its totient is φ = 43315518850560.

The previous prime is 132112333030031. The next prime is 132112333030061. The reversal of 132112333030032 is 230030333211231.

132112333030032 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 23 + 330 + 300 + 3 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26197854771456 + 105914478258576 = 5118384^2 + 10291476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132112333029978 and 132112333030005.

It is not an unprimeable number, because it can be changed into a prime (132112333030031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122743773 + ... + 123815420.

Almost surely, 2132112333030032 is an apocalyptic number.

132112333030032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132112333030032 is an abundant number, since it is smaller than the sum of its proper divisors (243779239623474).

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

132112333030032 is a wasteful number, since it uses less digits than its factorization.

132112333030032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246559329 (or 246559259 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 132112333030032 its reverse (230030333211231), we get a palindrome (362142666241263).

The spelling of 132112333030032 in words is "one hundred thirty-two trillion, one hundred twelve billion, three hundred thirty-three million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 3721 4392 7442 8784 11163 14884 22326 29768 33489 44652 59536 66978 89304 133956 178608 267912 535824 246559193 493118386 739677579 986236772 1479355158 1972473544 2219032737 2958710316 3944947088 4438065474 5917420632 8876130948 11834841264 15040110773 17752261896 30080221546 35504523792 45120332319 60160443092 90240664638 120320886184 135360996957 180481329276 240641772368 270721993914 360962658552 541443987828 721925317104 917446757153 1082887975656 1834893514306 2165775951312 2752340271459 3669787028612 5504680542918 7339574057224 8257020814377 11009361085836 14679148114448 16514041628754 22018722171672 33028083257508 44037444343344 66056166515016 132112333030032