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2121131110 = 257235312263
BaseRepresentation
bin111111001101101…
…1110010001100110
312110211021121212111
41332123132101212
513321002143420
6550251111234
7103364213500
oct17633362146
95424247774
102121131110
1199936121a
124b244251a
1327a5a9087
141619cad70
15c633d45a
hex7e6de466

2121131110 has 48 divisors (see below), whose sum is σ = 4454333856. Its totient is φ = 725125632.

The previous prime is 2121131087. The next prime is 2121131113. The reversal of 2121131110 is 111311212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121131113) 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 23 ways as a sum of consecutive naturals, for example, 166839 + ... + 179101.

It is an arithmetic number, because the mean of its divisors is an integer number (92798622).

Almost surely, 22121131110 is an apocalyptic number.

2121131110 is an abundant number, since it is smaller than the sum of its proper divisors (2333202746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2121131110 is a wasteful number, since it uses less digits than its factorization.

2121131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12637 (or 12630 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 2121131110 is about 46055.7391646253. The cubic root of 2121131110 is about 1284.8600856005.

Adding to 2121131110 its reverse (111311212), we get a palindrome (2232442322).

The spelling of 2121131110 in words is "two billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 353 490 706 1765 2471 3530 4942 12263 12355 17297 24526 24710 34594 61315 85841 86485 122630 171682 172970 429205 600887 858410 1201774 3004435 4328839 6008870 8657678 21644195 30301873 43288390 60603746 151509365 212113111 303018730 424226222 1060565555 2121131110