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2102141313 = 326137910103
BaseRepresentation
bin111110101001100…
…0010000110000001
312102111112211202200
41331103002012001
513301122010223
6544332103413
7103043622606
oct17523020601
95374484680
102102141313
11989670978
124a8004b69
1327668a6cc
1415d2866ad
15c483ba43
hex7d4c2181

2102141313 has 24 divisors (see below), whose sum is σ = 3094653120. Its totient is φ = 1374680160.

The previous prime is 2102141311. The next prime is 2102141329. The reversal of 2102141313 is 3131412012.

2102141313 is a `hidden beast` number, since 210 + 2 + 141 + 313 = 666.

It is not a de Polignac number, because 2102141313 - 21 = 2102141311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2102141311) 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, 203020 + ... + 213122.

It is an arithmetic number, because the mean of its divisors is an integer number (128943880).

Almost surely, 22102141313 is an apocalyptic number.

It is an amenable number.

2102141313 is a deficient number, since it is larger than the sum of its proper divisors (992511807).

2102141313 is a wasteful number, since it uses less digits than its factorization.

2102141313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10549 (or 10546 counting only the distinct ones).

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

The square root of 2102141313 is about 45849.1146370352. The cubic root of 2102141313 is about 1281.0142744032.

Adding to 2102141313 its reverse (3131412012), we get a palindrome (5233553325).

The spelling of 2102141313 in words is "two billion, one hundred two million, one hundred forty-one thousand, three hundred thirteen".

Divisors: 1 3 9 61 183 379 549 1137 3411 10103 23119 30309 69357 90927 208071 616283 1848849 3829037 5546547 11487111 34461333 233571257 700713771 2102141313