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1002012220321 = 71747179154697
BaseRepresentation
bin11101001010011001001…
…01010001101110100001
310112210100221202210211121
432211030211101232201
5112404110112022241
62044152411212241
7132251540225410
oct16451445215641
93483327683747
101002012220321
11356a508598a2
12142243a47081
1373649131258
14366d77a3477
151b0e823ead1
hexe94c951ba1

1002012220321 has 16 divisors (see below), whose sum is σ = 1238317272576. Its totient is φ = 791147137536.

The previous prime is 1002012220277. The next prime is 1002012220337. The reversal of 1002012220321 is 1230222102001.

It is a happy number.

It is not a de Polignac number, because 1002012220321 - 219 = 1002011696033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002012220295 and 1002012220304.

It is not an unprimeable number, because it can be changed into a prime (1002012220351) 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 15 ways as a sum of consecutive naturals, for example, 89571756 + ... + 89582941.

It is an arithmetic number, because the mean of its divisors is an integer number (77394829536).

Almost surely, 21002012220321 is an apocalyptic number.

It is an amenable number.

1002012220321 is a deficient number, since it is larger than the sum of its proper divisors (236305052255).

1002012220321 is a wasteful number, since it uses less digits than its factorization.

1002012220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179154768.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1002012220321 its reverse (1230222102001), we get a palindrome (2232234322322).

The spelling of 1002012220321 in words is "one trillion, two billion, twelve million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 7 17 47 119 329 799 5593 179154697 1254082879 3045629849 8420270759 21319408943 58941895313 143144602903 1002012220321