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1222112021 = 13971576173
BaseRepresentation
bin100100011010111…
…1111001100010101
310011011121201112012
41020311333030111
510000330041041
6321134034005
742166531544
oct11065771425
93134551465
101222112021
11577939939
122a1348905
13166267010
14b844815b
15724573eb
hex48d7f315

1222112021 has 16 divisors (see below), whose sum is σ = 1338375024. Its totient is φ = 1109182464.

The previous prime is 1222111991. The next prime is 1222112057. The reversal of 1222112021 is 1202112221.

It can be written as a sum of positive squares in 8 ways, for example, as 477422500 + 744689521 = 21850^2 + 27289^2 .

It is not a de Polignac number, because 1222112021 - 210 = 1222110997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1222111987 and 1222112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222112621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194891 + ... + 201063.

It is an arithmetic number, because the mean of its divisors is an integer number (83648439).

Almost surely, 21222112021 is an apocalyptic number.

It is an amenable number.

1222112021 is a deficient number, since it is larger than the sum of its proper divisors (116263003).

1222112021 is a wasteful number, since it uses less digits than its factorization.

1222112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1222112021 is about 34958.7188123364. The cubic root of 1222112021 is about 1069.1459750143.

Adding to 1222112021 its reverse (1202112221), we get a palindrome (2424224242).

It can be divided in two parts, 12221 and 12021, that added together give a palindrome (24242).

The spelling of 1222112021 in words is "one billion, two hundred twenty-two million, one hundred twelve thousand, twenty-one".

Divisors: 1 13 97 157 1261 2041 6173 15229 80249 197977 598781 969161 7784153 12599093 94008617 1222112021