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132123321330 = 235711134399711
BaseRepresentation
bin111101100001100101…
…0011110001111110010
3110122000220100010220120
41323003022132033302
54131042032240310
6140410245151110
712355065462360
oct1730312361762
9418026303816
10132123321330
1151040196950
12217339bb496
13c5c7a697a0
1465754a6630
153684485b70
hex1ec329e3f2

132123321330 has 128 divisors (see below), whose sum is σ = 425751330816. Its totient is φ = 25342329600.

The previous prime is 132123321311. The next prime is 132123321331. The reversal of 132123321330 is 33123321231.

It is a self number, because there is not a number n which added to its sum of digits gives 132123321330.

It is not an unprimeable number, because it can be changed into a prime (132123321331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2169826 + ... + 2229885.

It is an arithmetic number, because the mean of its divisors is an integer number (3326182272).

Almost surely, 2132123321330 is an apocalyptic number.

132123321330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132123321330 is an abundant number, since it is smaller than the sum of its proper divisors (293628009486).

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

132123321330 is a wasteful number, since it uses less digits than its factorization.

132123321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399752.

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

Adding to 132123321330 its reverse (33123321231), we get a palindrome (165246642561).

Subtracting from 132123321330 its reverse (33123321231), we obtain a palindrome (99000000099).

The spelling of 132123321330 in words is "one hundred thirty-two billion, one hundred twenty-three million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 10010 15015 30030 4399711 8799422 13199133 21998555 26398266 30797977 43997110 48396821 57196243 61595954 65995665 92393931 96793642 114392486 131991330 145190463 153989885 171588729 184787862 241984105 285981215 290380926 307979770 338777747 343177458 400373701 461969655 483968210 571962430 629158673 677555494 725952315 800747402 857943645 923939310 1016333241 1201121103 1258317346 1451904630 1693888735 1715887290 1887476019 2001868505 2032666482 2402242206 3145793365 3387777470 3774952038 4003737010 4404110711 5081666205 6005605515 6291586730 8808221422 9437380095 10163332410 12011211030 13212332133 18874760190 22020553555 26424664266 44041107110 66061660665 132123321330