Search a number
-
+
1221019985 = 517149229421
BaseRepresentation
bin100100011000111…
…0100100101010001
310011002120020112102
41020301310211101
510000040114420
6321054410145
742154333013
oct11061644521
93132506472
101221019985
11577263429
122a0b00955
13165c73c43
14b82421b3
15722dda75
hex48c74951

1221019985 has 32 divisors (see below), whose sum is σ = 1572372000. Its totient is φ = 907038720.

The previous prime is 1221019979. The next prime is 1221020069. The reversal of 1221019985 is 5899101221.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 426174736 + 794845249 = 20644^2 + 28193^2 .

It is not a de Polignac number, because 1221019985 - 210 = 1221018961 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2900075 + ... + 2900495.

It is an arithmetic number, because the mean of its divisors is an integer number (49136625).

Almost surely, 21221019985 is an apocalyptic number.

It is an amenable number.

1221019985 is a deficient number, since it is larger than the sum of its proper divisors (351352015).

1221019985 is a wasteful number, since it uses less digits than its factorization.

1221019985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821.

The product of its (nonzero) digits is 12960, while the sum is 38.

The square root of 1221019985 is about 34943.0963854092. The cubic root of 1221019985 is about 1068.8274297948.

The spelling of 1221019985 in words is "one billion, two hundred twenty-one million, nineteen thousand, nine hundred eighty-five".

Divisors: 1 5 17 85 149 229 421 745 1145 2105 2533 3893 7157 12665 19465 34121 35785 62729 96409 170605 313645 482045 580057 1066393 1638953 2900285 5331965 8194765 14364941 71824705 244203997 1221019985