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132222000300 = 223521322607929
BaseRepresentation
bin111101100100100001…
…0111001110010101100
3110122021210000120000020
41323021002321302230
54131242313002200
6140424132202140
712360404313225
oct1731102716254
9418253016006
10132222000300
1151090965915
1221760a69350
13c612339c00
14658463224c
15368ce78ea0
hex1ec90b9cac

132222000300 has 108 divisors (see below), whose sum is σ = 414254032920. Its totient is φ = 32546941440.

The previous prime is 132222000299. The next prime is 132222000307. The reversal of 132222000300 is 3000222231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132222000300.

It is not an unprimeable number, because it can be changed into a prime (132222000307) 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 35 ways as a sum of consecutive naturals, for example, 1253265 + ... + 1354664.

It is an arithmetic number, because the mean of its divisors is an integer number (3835685490).

Almost surely, 2132222000300 is an apocalyptic number.

132222000300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132222000300 is an abundant number, since it is smaller than the sum of its proper divisors (282032032620).

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

132222000300 is a wasteful number, since it uses less digits than its factorization.

132222000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607972 (or 2607952 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 132222000300 its reverse (3000222231), we get a palindrome (135222222531).

The spelling of 132222000300 in words is "one hundred thirty-two billion, two hundred twenty-two million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 650 676 780 845 975 1014 1300 1690 1950 2028 2535 3380 3900 4225 5070 8450 10140 12675 16900 25350 50700 2607929 5215858 7823787 10431716 13039645 15647574 26079290 31295148 33903077 39118935 52158580 65198225 67806154 78237870 101709231 130396450 135612308 156475740 169515385 195594675 203418462 260792900 339030770 391189350 406836924 440740001 508546155 678061540 782378700 847576925 881480002 1017092310 1322220003 1695153850 1762960004 2034184620 2203700005 2542730775 2644440006 3390307700 4407400010 5085461550 5288880012 6611100015 8814800020 10170923100 11018500025 13222200030 22037000050 26444400060 33055500075 44074000100 66111000150 132222000300