Search a number
-
+
2105582381 = 72298916649
BaseRepresentation
bin111110110000000…
…1010001100101101
312102202000200000122
41331200022030231
513303012114011
6544533534325
7103115104100
oct17540121455
95382020018
102105582381
11990601231
124a91a43a5
132772c3a46
1415d900737
15c4cbb3db
hex7d80a32d

2105582381 has 24 divisors (see below), whose sum is σ = 2562435000. Its totient is φ = 1722868224.

The previous prime is 2105582377. The next prime is 2105582387. The reversal of 2105582381 is 1832855012.

It can be written as a sum of positive squares in 4 ways, for example, as 291248356 + 1814334025 = 17066^2 + 42595^2 .

It is not a de Polignac number, because 2105582381 - 22 = 2105582377 is a prime.

It is a super-2 number, since 2×21055823812 = 8866954326355258322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105582387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118145 + ... + 134793.

It is an arithmetic number, because the mean of its divisors is an integer number (106768125).

Almost surely, 22105582381 is an apocalyptic number.

It is an amenable number.

2105582381 is a deficient number, since it is larger than the sum of its proper divisors (456852619).

2105582381 is a wasteful number, since it uses less digits than its factorization.

2105582381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16781 (or 16774 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 2105582381 is about 45886.6252953952. The cubic root of 2105582381 is about 1281.7128722490.

The spelling of 2105582381 in words is "two billion, one hundred five million, five hundred eighty-two thousand, three hundred eighty-one".

Divisors: 1 7 29 49 89 203 623 1421 2581 4361 16649 18067 116543 126469 482821 815801 1481761 3379747 10372327 23658229 42971069 72606289 300797483 2105582381