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132113332032 = 2631162553661
BaseRepresentation
bin111101100001010010…
…0010111011101000000
3110122000012112122011120
41323002210113131000
54131032003111112
6140405251112240
712354614536143
oct1730244273500
9418005478146
10132113332032
1151035593830
12217305a2680
13c5c597ca66
14657402605a
153683660e8c
hex1ec2917740

132113332032 has 56 divisors (see below), whose sum is σ = 381327123552. Its totient is φ = 40034342400.

The previous prime is 132113331991. The next prime is 132113332051. The reversal of 132113332032 is 230233311231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132113331993 and 132113332011.

It is a congruent number.

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, 31274719 + ... + 31278942.

Almost surely, 2132113332032 is an apocalyptic number.

132113332032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132113332032 is an abundant number, since it is smaller than the sum of its proper divisors (249213791520).

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

132113332032 is a wasteful number, since it uses less digits than its factorization.

132113332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62553687 (or 62553677 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132113332032 its reverse (230233311231), we get a palindrome (362346643263).

The spelling of 132113332032 in words is "one hundred thirty-two billion, one hundred thirteen million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 62553661 125107322 187660983 250214644 375321966 500429288 688090271 750643932 1000858576 1376180542 1501287864 2001717152 2064270813 2752361084 3002575728 4003434304 4128541626 5504722168 6005151456 8257083252 11009444336 12010302912 16514166504 22018888672 33028333008 44037777344 66056666016 132113332032