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132131233110312 = 2333611718671807
BaseRepresentation
bin11110000010110000110011…
…001101101001100100101000
3122022211121210211002212201000
4132002300303031221210220
5114304314231134012222
61145004130035555000
736555111063223632
oct3602606315514450
9568747724085630
10132131233110312
11391125a5489177
121299bb0275ba60
135895bca309147
14248b285bc5a52
1510420837b59ac
hex782c33369928

132131233110312 has 32 divisors (see below), whose sum is σ = 367031203084800. Its totient is φ = 44043744370032.

The previous prime is 132131233110311. The next prime is 132131233110323. The reversal of 132131233110312 is 213011332131231.

132131233110312 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 1 + 2 + 331 + 10 + 312 = 666.

It is a super-2 number, since 2×1321312331103122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132131233110311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305859335688 + ... + 305859336119.

It is an arithmetic number, because the mean of its divisors is an integer number (11469725096400).

Almost surely, 2132131233110312 is an apocalyptic number.

132131233110312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132131233110312 is an abundant number, since it is smaller than the sum of its proper divisors (234899969974488).

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

132131233110312 is a wasteful number, since it uses less digits than its factorization.

132131233110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611718671822 (or 611718671812 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 132131233110312 its reverse (213011332131231), we get a palindrome (345142565241543).

The spelling of 132131233110312 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, two hundred thirty-three million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 611718671807 1223437343614 1835156015421 2446874687228 3670312030842 4893749374456 5505468046263 7340624061684 11010936092526 14681248123368 16516404138789 22021872185052 33032808277578 44043744370104 66065616555156 132131233110312