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12332132100 = 22325261224629
BaseRepresentation
bin10110111110000110…
…10110011100000100
31011211110002012221100
423133003112130010
5200224011211400
65355412220100
7614413251621
oct133703263404
934743065840
1012332132100
115259192412
12248200a630
131216c02bb2
1484db97348
154c29ca100
hex2df0d6704

12332132100 has 108 divisors (see below), whose sum is σ = 39288236260. Its totient is φ = 3234643200.

The previous prime is 12332132051. The next prime is 12332132101. The reversal of 12332132100 is 123123321.

12332132100 is a `hidden beast` number, since 1 + 23 + 321 + 321 + 0 + 0 = 666.

12332132100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 161188416 + 12170943684 = 12696^2 + 110322^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12332132101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 57415 + ... + 167214.

Almost surely, 212332132100 is an apocalyptic number.

12332132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12332132100 is an abundant number, since it is smaller than the sum of its proper divisors (26956104160).

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

12332132100 is a wasteful number, since it uses less digits than its factorization.

12332132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224710 (or 224700 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12332132100 its reverse (123123321), we get a palindrome (12455255421).

The spelling of 12332132100 in words is "twelve billion, three hundred thirty-two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 300 305 366 450 549 610 732 900 915 1098 1220 1525 1830 2196 2745 3050 3660 4575 5490 6100 9150 10980 13725 18300 27450 54900 224629 449258 673887 898516 1123145 1347774 2021661 2246290 2695548 3369435 4043322 4492580 5615725 6738870 8086644 10108305 11231450 13477740 13702369 16847175 20216610 22462900 27404738 33694350 40433220 41107107 50541525 54809476 67388700 68511845 82214214 101083050 123321321 137023690 164428428 202166100 205535535 246642642 274047380 342559225 411071070 493285284 616606605 685118450 822142140 1027677675 1233213210 1370236900 2055355350 2466426420 3083033025 4110710700 6166066050 12332132100