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132123235257 = 321331109334199
BaseRepresentation
bin111101100001100101…
…0001001001110111001
3110122000220011202211200
41323003022021032321
54131042022012012
6140410243244413
712355064653416
oct1730312111671
9418026152750
10132123235257
1151040138212
1221733979709
13c5c7a39560
14657548310d
15368446a3dc
hex1ec32893b9

132123235257 has 48 divisors (see below), whose sum is σ = 214101888000. Its totient is φ = 77961709440.

The previous prime is 132123235229. The next prime is 132123235259. The reversal of 132123235257 is 752532321231.

132123235257 is a `hidden beast` number, since 1 + 3 + 2 + 123 + 2 + 3 + 525 + 7 = 666.

It is not a de Polignac number, because 132123235257 - 26 = 132123235193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132123235259) 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 47 ways as a sum of consecutive naturals, for example, 228244 + ... + 562442.

It is an arithmetic number, because the mean of its divisors is an integer number (4460456000).

Almost surely, 2132123235257 is an apocalyptic number.

It is an amenable number.

132123235257 is a deficient number, since it is larger than the sum of its proper divisors (81978652743).

132123235257 is a wasteful number, since it uses less digits than its factorization.

132123235257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334358 (or 334355 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

Adding to 132123235257 its reverse (752532321231), we get a palindrome (884655556488).

The spelling of 132123235257 in words is "one hundred thirty-two billion, one hundred twenty-three million, two hundred thirty-five thousand, two hundred fifty-seven".

Divisors: 1 3 9 13 31 39 93 109 117 279 327 403 981 1209 1417 3379 3627 4251 10137 12753 30411 43927 131781 334199 395343 1002597 3007791 4344587 10360169 13033761 31080507 36427691 39101283 93241521 109283073 134682197 327849219 404046591 473559983 1129258421 1212139773 1420679949 3387775263 4262039847 10163325789 14680359473 44041078419 132123235257