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12032210043001 = 1723212421107717
BaseRepresentation
bin1010111100010111011110…
…0110110000000001111001
31120121021020101221211020001
42233011313212300001321
53034113431232334001
641331304311033001
72351204244606301
oct257056746600171
946537211854201
1012032210043001
113919916987955
121423b0a96b761
1369382b8c1625
142d850d75a601
1515cebaa9c001
hexaf1779b0079

12032210043001 has 24 divisors (see below), whose sum is σ = 13319178602184. Its totient is φ = 10831093701120.

The previous prime is 12032210042977. The next prime is 12032210043031. The reversal of 12032210043001 is 10034001223021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5270233898601 + 6761976144400 = 2295699^2 + 2600380^2 .

It is not a de Polignac number, because 12032210043001 - 25 = 12032210042969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12032210043001.

It is not an unprimeable number, because it can be changed into a prime (12032210043031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111648195 + ... + 111755911.

It is an arithmetic number, because the mean of its divisors is an integer number (554965775091).

Almost surely, 212032210043001 is an apocalyptic number.

It is an amenable number.

12032210043001 is a deficient number, since it is larger than the sum of its proper divisors (1286968559183).

12032210043001 is a wasteful number, since it uses less digits than its factorization.

12032210043001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120201 (or 120178 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12032210043001 its reverse (10034001223021), we get a palindrome (22066211266022).

The spelling of 12032210043001 in words is "twelve trillion, thirty-two billion, two hundred ten million, forty-three thousand, one".

Divisors: 1 17 23 391 529 8993 12421 107717 211157 285683 1831189 2477491 4856611 6570709 42117347 56982293 111702053 968698981 1337952857 22745198569 30772915711 523139567087 707777061353 12032210043001