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1220116205 = 57112614723
BaseRepresentation
bin100100010111001…
…0111111011101101
310011000212022210002
41020232113323231
54444322204310
6321023154045
742143550050
oct11056277355
93130768702
101220116205
115767a6400
122a0745925
13165a18769
14b8088a97
15721b0da5
hex48b97eed

1220116205 has 48 divisors (see below), whose sum is σ = 1869796992. Its totient is φ = 747964800.

The previous prime is 1220116201. The next prime is 1220116207. The reversal of 1220116205 is 5026110221.

1220116205 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1220116205 - 22 = 1220116201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220116201) 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 47 ways as a sum of consecutive naturals, for example, 255974 + ... + 260696.

It is an arithmetic number, because the mean of its divisors is an integer number (38954104).

Almost surely, 21220116205 is an apocalyptic number.

It is an amenable number.

1220116205 is a deficient number, since it is larger than the sum of its proper divisors (649680787).

1220116205 is a wasteful number, since it uses less digits than its factorization.

1220116205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1220116205 is about 34930.1618232724. The cubic root of 1220116205 is about 1068.5636548907.

Adding to 1220116205 its reverse (5026110221), we get a palindrome (6246226426).

The spelling of 1220116205 in words is "one billion, two hundred twenty million, one hundred sixteen thousand, two hundred five".

Divisors: 1 5 7 11 35 55 61 77 121 305 385 427 605 671 847 2135 3355 4235 4697 4723 7381 23485 23615 33061 36905 51667 51953 165305 258335 259765 288103 363671 571483 1440515 1818355 2016721 2857415 3169133 4000381 10083605 15845665 20001905 22183931 34860463 110919655 174302315 244023241 1220116205