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20132202032010 = 2325416873536593
BaseRepresentation
bin1001001001111011001001…
…10000000010101110001010
32122021121201202220120022200
410210331210300002232022
510114321222210011020
6110452334514301030
74145334506530425
oct444754460025612
978247652816280
1020132202032010
116462023224432
122311909887776
13b305c644ba93
144d8591d729bc
1524da411b8590
hex124f64c02b8a

20132202032010 has 48 divisors (see below), whose sum is σ = 52343948394504. Its totient is φ = 5368564325376.

The previous prime is 20132202031867. The next prime is 20132202032051. The reversal of 20132202032010 is 1023020223102.

20132202032010 is a `hidden beast` number, since 2 + 0 + 1 + 322 + 0 + 20 + 320 + 1 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17004217162689 + 3127984869321 = 4123617^2 + 1768611^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37250274 + ... + 37786866.

Almost surely, 220132202032010 is an apocalyptic number.

20132202032010 is an abundant number, since it is smaller than the sum of its proper divisors (32211746362494).

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

20132202032010 is a wasteful number, since it uses less digits than its factorization.

20132202032010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953479 (or 953476 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20132202032010 its reverse (1023020223102), we get a palindrome (21155222255112).

The spelling of 20132202032010 in words is "twenty trillion, one hundred thirty-two billion, two hundred two million, thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 416873 536593 833746 1073186 1250619 1609779 2084365 2501238 2682965 3219558 3751857 4168730 4829337 5365930 6253095 7503714 8048895 9658674 12506190 16097790 18759285 24146685 37518570 48293370 223691133689 447382267378 671073401067 1118455668445 1342146802134 2013220203201 2236911336890 3355367005335 4026440406402 6710734010670 10066101016005 20132202032010