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132101112012 = 22343256009907
BaseRepresentation
bin111101100000111010…
…1110000000011001100
3110121222100112210110020
41323001311300003030
54131020341041022
6140404133142140
712354405632232
oct1730165600314
9417870483406
10132101112012
11510296a7741
122172848a950
13c5c329188c
146572564952
15368254a35c
hex1ec1d700cc

132101112012 has 24 divisors (see below), whose sum is σ = 315404206656. Its totient is φ = 43009664208.

The previous prime is 132101111977. The next prime is 132101112083. The reversal of 132101112012 is 210211101231.

It is a junction number, because it is equal to n+sod(n) for n = 132101111982 and 132101112000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128004438 + ... + 128005469.

It is an arithmetic number, because the mean of its divisors is an integer number (13141841944).

Almost surely, 2132101112012 is an apocalyptic number.

132101112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132101112012 is an abundant number, since it is smaller than the sum of its proper divisors (183303094644).

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

132101112012 is a wasteful number, since it uses less digits than its factorization.

132101112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256009957 (or 256009955 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 132101112012 its reverse (210211101231), we get a palindrome (342312213243).

The spelling of 132101112012 in words is "one hundred thirty-two billion, one hundred one million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 256009907 512019814 768029721 1024039628 1536059442 3072118884 11008426001 22016852002 33025278003 44033704004 66050556006 132101112012