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221313106 = 27217711871
BaseRepresentation
bin11010011000011…
…11100001010010
3120102102212111201
431030033201102
5423124004411
633543301414
75325062500
oct1514174122
9512385451
10221313106
11103a1a8a3
126214a86a
1336b0a301
142156d670
15146693c1
hexd30f852

221313106 has 48 divisors (see below), whose sum is σ = 414865152. Its totient is φ = 87964800.

The previous prime is 221313101. The next prime is 221313133. The reversal of 221313106 is 601313122.

It is not an unprimeable number, because it can be changed into a prime (221313101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 117351 + ... + 119221.

It is an arithmetic number, because the mean of its divisors is an integer number (8643024).

Almost surely, 2221313106 is an apocalyptic number.

221313106 is a deficient number, since it is larger than the sum of its proper divisors (193552046).

221313106 is a wasteful number, since it uses less digits than its factorization.

221313106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 221313106 is about 14876.5959143885. The cubic root of 221313106 is about 604.8797484289.

Adding to 221313106 its reverse (601313122), we get a palindrome (822626228).

The spelling of 221313106 in words is "two hundred twenty-one million, three hundred thirteen thousand, one hundred six".

Divisors: 1 2 7 14 17 34 49 71 98 119 142 238 497 833 994 1207 1666 1871 2414 3479 3742 6958 8449 13097 16898 26194 31807 59143 63614 91679 118286 132841 183358 222649 265682 445298 929887 1558543 1859774 2258297 3117086 4516594 6509209 13018418 15808079 31616158 110656553 221313106