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132132033312 = 25343107299147
BaseRepresentation
bin111101100001110101…
…1101101001100100000
3110122001111201202111120
41323003223231030200
54131101300031222
6140411200012240
712355232515626
oct1730353551440
9418044652446
10132132033312
11510450a7334
1221736901080
13c5c97c9cc6
1465766d3516
15368510715c
hex1ec3aed320

132132033312 has 96 divisors (see below), whose sum is σ = 358230926592. Its totient is φ = 42617535744.

The previous prime is 132132033287. The next prime is 132132033331. The reversal of 132132033312 is 213330231231.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 292123 + ... + 591269.

It is an arithmetic number, because the mean of its divisors is an integer number (3731572152).

Almost surely, 2132132033312 is an apocalyptic number.

132132033312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132132033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179115463296).

132132033312 is an abundant number, since it is smaller than the sum of its proper divisors (226098893280).

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

132132033312 is a wasteful number, since it uses less digits than its factorization.

132132033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299310 (or 299302 counting only the distinct ones).

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

Adding to 132132033312 its reverse (213330231231), we get a palindrome (345462264543).

The spelling of 132132033312 in words is "one hundred thirty-two billion, one hundred thirty-two million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 107 129 172 214 258 321 344 428 516 642 688 856 1032 1284 1376 1712 2064 2568 3424 4128 4601 5136 9202 10272 13803 18404 27606 36808 55212 73616 110424 147232 220848 299147 441696 598294 897441 1196588 1794882 2393176 3589764 4786352 7179528 9572704 12863321 14359056 25726642 28718112 32008729 38589963 51453284 64017458 77179926 96026187 102906568 128034916 154359852 192052374 205813136 256069832 308719704 384104748 411626272 512139664 617439408 768209496 1024279328 1234878816 1376375347 1536418992 2752750694 3072837984 4129126041 5505501388 8258252082 11011002776 16516504164 22022005552 33033008328 44044011104 66066016656 132132033312