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1223130313221 = 337101109100911
BaseRepresentation
bin10001110011001000001…
…111110111001000000101
311022221010001110202200220
4101303020033313020011
5130014432330010341
62333522011254553
7154240211056365
oct21631017671005
94287101422626
101223130313221
114317aa1a1833
12179073a4a459
138b45767208b
14432b24589a5
1521c3a68ba66
hex11cc83f7205

1223130313221 has 16 divisors (see below), whose sum is σ = 1691500539648. Its totient is φ = 785526552000.

The previous prime is 1223130313193. The next prime is 1223130313243.

1223130313221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1223130313221 - 213 = 1223130305029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1223130313191 and 1223130313200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223130315221) 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, 54539245 + ... + 54561666.

It is an arithmetic number, because the mean of its divisors is an integer number (105718783728).

Almost surely, 21223130313221 is an apocalyptic number.

It is an amenable number.

1223130313221 is a deficient number, since it is larger than the sum of its proper divisors (468370226427).

1223130313221 is a wasteful number, since it uses less digits than its factorization.

1223130313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109101052.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1223130 and 313221, that added together give a palindrome (1536351).

The spelling of 1223130313221 in words is "one trillion, two hundred twenty-three billion, one hundred thirty million, three hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 37 101 111 303 3737 11211 109100911 327302733 4036733707 11019192011 12110201121 33057576033 407710104407 1223130313221