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132331310112 = 25310712882721
BaseRepresentation
bin111101100111110001…
…1111000110000100000
3110122120101201001212210
41323033203320300200
54132003303410422
6140443035122120
712363202401561
oct1731743706040
9418511631783
10132331310112
1151137635a01
12217915a3340
13c62bb90081
146594d68168
15369786c10c
hex1ecf8f8c20

132331310112 has 48 divisors (see below), whose sum is σ = 350616161952. Its totient is φ = 43698186240.

The previous prime is 132331310101. The next prime is 132331310119. The reversal of 132331310112 is 211013133231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (132331310119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6431089 + ... + 6451632.

It is an arithmetic number, because the mean of its divisors is an integer number (7304503374).

Almost surely, 2132331310112 is an apocalyptic number.

132331310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132331310112 is an abundant number, since it is smaller than the sum of its proper divisors (218284851840).

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

132331310112 is a wasteful number, since it uses less digits than its factorization.

132331310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12882841 (or 12882833 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 132331310112 its reverse (211013133231), we get a palindrome (343344443343).

The spelling of 132331310112 in words is "one hundred thirty-two billion, three hundred thirty-one million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1284 1712 2568 3424 5136 10272 12882721 25765442 38648163 51530884 77296326 103061768 154592652 206123536 309185304 412247072 618370608 1236741216 1378451147 2756902294 4135353441 5513804588 8270706882 11027609176 16541413764 22055218352 33082827528 44110436704 66165655056 132331310112