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2213314101 = 321012434889
BaseRepresentation
bin1000001111101100…
…0111111000110101
312201020202000011100
42003323013320311
514013102022401
61003343000313
7105563600535
oct20373077065
95636660140
102213314101
11a363a3709
12519299099
1329371381b
1416dd454c5
15ce49bb86
hex83ec7e35

2213314101 has 12 divisors (see below), whose sum is σ = 3228664140. Its totient is φ = 1460932800.

The previous prime is 2213314067. The next prime is 2213314121. The reversal of 2213314101 is 1014133122.

2213314101 is a `hidden beast` number, since 221 + 3 + 31 + 410 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1305738225 + 907575876 = 36135^2 + 30126^2 .

It is not a de Polignac number, because 2213314101 - 213 = 2213305909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213314121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1216536 + ... + 1218353.

It is an arithmetic number, because the mean of its divisors is an integer number (269055345).

Almost surely, 22213314101 is an apocalyptic number.

It is an amenable number.

2213314101 is a deficient number, since it is larger than the sum of its proper divisors (1015350039).

2213314101 is a wasteful number, since it uses less digits than its factorization.

2213314101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434996 (or 2434993 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2213314101 is about 47045.8723056550. The cubic root of 2213314101 is about 1303.2098394396.

Adding to 2213314101 its reverse (1014133122), we get a palindrome (3227447223).

The spelling of 2213314101 in words is "two billion, two hundred thirteen million, three hundred fourteen thousand, one hundred one".

Divisors: 1 3 9 101 303 909 2434889 7304667 21914001 245923789 737771367 2213314101