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1002222023120 = 24512527775289
BaseRepresentation
bin11101001010110010001…
…01100111000111010000
310112210220120112220011122
432211121011213013100
5112410022314214440
62044225304101412
7132256665431363
oct16453105470720
93483816486148
101002222023120
1135704922783a
121422a2164868
137368073b416
14367175b80da
151b10b8837b5
hexe9591671d0

1002222023120 has 20 divisors (see below), whose sum is σ = 2330166203940. Its totient is φ = 400888809216.

The previous prime is 1002222023119. The next prime is 1002222023137. The reversal of 1002222023120 is 213202222001.

It can be written as a sum of positive squares in 2 ways, for example, as 783699431824 + 218522591296 = 885268^2 + 467464^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 6263887565 + ... + 6263887724.

It is an arithmetic number, because the mean of its divisors is an integer number (116508310197).

Almost surely, 21002222023120 is an apocalyptic number.

1002222023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002222023120 is an abundant number, since it is smaller than the sum of its proper divisors (1327944180820).

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

1002222023120 is a wasteful number, since it uses less digits than its factorization.

1002222023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12527775302 (or 12527775296 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 1002222023120 its reverse (213202222001), we get a palindrome (1215424245121).

The spelling of 1002222023120 in words is "one trillion, two billion, two hundred twenty-two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12527775289 25055550578 50111101156 62638876445 100222202312 125277752890 200444404624 250555505780 501111011560 1002222023120