Search a number
-
+
2101313322 = 2321719734951
BaseRepresentation
bin111110100111111…
…0111111100101010
312102102222202222100
41331033313330222
513300414011242
6544302234230
7103033603623
oct17517677452
95372882870
102101313322
11989155889
124a7885976
1327645a884
1415d10ca4a
15c472654c
hex7d3f7f2a

2101313322 has 96 divisors (see below), whose sum is σ = 5144929920. Its totient is φ = 615859200.

The previous prime is 2101313317. The next prime is 2101313329. The reversal of 2101313322 is 2233131012.

2101313322 is a `hidden beast` number, since 210 + 131 + 3 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2101313295 and 2101313304.

It is not an unprimeable number, because it can be changed into a prime (2101313329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421947 + ... + 426897.

It is an arithmetic number, because the mean of its divisors is an integer number (53593020).

Almost surely, 22101313322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572464960).

2101313322 is an abundant number, since it is smaller than the sum of its proper divisors (3043616598).

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

2101313322 is a wasteful number, since it uses less digits than its factorization.

2101313322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068 (or 5065 counting only the distinct ones).

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

The square root of 2101313322 is about 45840.0842276713. The cubic root of 2101313322 is about 1280.8460637676.

Adding to 2101313322 its reverse (2233131012), we get a palindrome (4334444334).

The spelling of 2101313322 in words is "two billion, one hundred one million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 73 102 114 146 153 171 219 306 323 342 438 646 657 969 1241 1314 1387 1938 2482 2774 2907 3723 4161 4951 5814 7446 8322 9902 11169 12483 14853 22338 23579 24966 29706 44559 47158 70737 84167 89118 94069 141474 168334 188138 212211 252501 282207 361423 424422 505002 564414 722846 757503 846621 1084269 1515006 1599173 1693242 2168538 3198346 3252807 4797519 6144191 6505614 6867037 9595038 12288382 13734074 14392557 18432573 20601111 28785114 36865146 41202222 55297719 61803333 110595438 116739629 123606666 233479258 350218887 700437774 1050656661 2101313322