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2102331321 = 331993731049
BaseRepresentation
bin111110101001111…
…0000011110111001
312102111220111102000
41331103300132321
513301144100241
6544340131213
7103045343556
oct17523603671
95374814360
102102331321
11989790702
124a8096b09
1327672603c
1415d2d5a2d
15c4877eb6
hex7d4f07b9

2102331321 has 32 divisors (see below), whose sum is σ = 3141600000. Its totient is φ = 1389446784.

The previous prime is 2102331317. The next prime is 2102331347. The reversal of 2102331321 is 1231332012.

2102331321 is a `hidden beast` number, since 2 + 10 + 2 + 331 + 321 = 666.

It is not a de Polignac number, because 2102331321 - 22 = 2102331317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102331294 and 2102331303.

It is not an unprimeable number, because it can be changed into a prime (2102331221) 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 31 ways as a sum of consecutive naturals, for example, 2003605 + ... + 2004653.

It is an arithmetic number, because the mean of its divisors is an integer number (98175000).

Almost surely, 22102331321 is an apocalyptic number.

It is an amenable number.

2102331321 is a deficient number, since it is larger than the sum of its proper divisors (1039268679).

2102331321 is a wasteful number, since it uses less digits than its factorization.

2102331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2102331321 is about 45851.1866912951. The cubic root of 2102331321 is about 1281.0528692756.

Adding to 2102331321 its reverse (1231332012), we get a palindrome (3333663333).

The spelling of 2102331321 in words is "two billion, one hundred two million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 199 373 597 1049 1119 1791 3147 3357 5373 9441 10071 28323 74227 208751 222681 391277 626253 668043 1173831 1878759 2004129 3521493 5636277 10564479 77864123 233592369 700777107 2102331321