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2102132241 = 3211192131449
BaseRepresentation
bin111110101001011…
…1111111000010001
312102111112101022200
41331102333320101
513301121212431
6544331553413
7103043554266
oct17522777021
95374471280
102102132241
11989665080
124a7bbb869
13276686541
1415d28326d
15c4838ee6
hex7d4bfe11

2102132241 has 72 divisors (see below), whose sum is σ = 3530498400. Its totient is φ = 1195084800.

The previous prime is 2102132239. The next prime is 2102132243. The reversal of 2102132241 is 1422312012.

It is a happy number.

2102132241 is a `hidden beast` number, since 210 + 213 + 2 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (2102132239) and next prime (2102132243).

It is not a de Polignac number, because 2102132241 - 21 = 2102132239 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2102132243) 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 71 ways as a sum of consecutive naturals, for example, 4681585 + ... + 4682033.

It is an arithmetic number, because the mean of its divisors is an integer number (49034700).

Almost surely, 22102132241 is an apocalyptic number.

It is an amenable number.

2102132241 is a deficient number, since it is larger than the sum of its proper divisors (1428366159).

2102132241 is a wasteful number, since it uses less digits than its factorization.

2102132241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2102132241 is about 45849.0157037204. The cubic root of 2102132241 is about 1281.0124316190.

Adding to 2102132241 its reverse (1422312012), we get a palindrome (3524444253).

The spelling of 2102132241 in words is "two billion, one hundred two million, one hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 9 11 19 33 57 99 131 171 209 361 393 449 627 1083 1179 1347 1441 1881 2489 3249 3971 4041 4323 4939 7467 8531 11913 12969 14817 22401 25593 27379 35739 44451 47291 58819 76779 82137 93841 141873 162089 176457 246411 281523 425619 486267 520201 529371 647009 844569 1117561 1458801 1560603 1782979 1941027 3352683 4681809 5348937 5823081 10058049 12293171 16046811 21233659 36879513 63700977 110638539 191102931 233570249 700710747 2102132241