Search a number
-
+
2321040114 = 23219229109113
BaseRepresentation
bin1000101001011000…
…0100001011110010
312222202110001110200
42022112010023302
514223141240424
61022151540030
7111342341541
oct21226041362
95882401420
102321040114
11a91191878
1254938a616
132acb30b23
14180388158
15d8b7a8c9
hex8a5842f2

2321040114 has 144 divisors (see below), whose sum is σ = 5589955800. Its totient is φ = 694987776.

The previous prime is 2321040109. The next prime is 2321040119. The reversal of 2321040114 is 4110401232.

It is an interprime number because it is at equal distance from previous prime (2321040109) and next prime (2321040119).

It can be written as a sum of positive squares in 4 ways, for example, as 1569348225 + 751691889 = 39615^2 + 27417^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2321040119) 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 71 ways as a sum of consecutive naturals, for example, 20540122 + ... + 20540234.

Almost surely, 22321040114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321040114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794977900).

2321040114 is an abundant number, since it is smaller than the sum of its proper divisors (3268915686).

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

2321040114 is a wasteful number, since it uses less digits than its factorization.

2321040114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2321040114 is about 48177.1742010675. The cubic root of 2321040114 is about 1324.0189940929.

Adding to 2321040114 its reverse (4110401232), we get a palindrome (6431441346).

The spelling of 2321040114 in words is "two billion, three hundred twenty-one million, forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 109 113 114 171 174 218 226 261 327 339 342 361 522 551 654 678 722 981 1017 1083 1102 1653 1962 2034 2071 2147 2166 3161 3249 3277 3306 4142 4294 4959 6213 6322 6441 6498 6554 9483 9831 9918 10469 12317 12426 12882 18639 18966 19323 19662 20938 24634 28449 29493 31407 36951 37278 38646 39349 40793 56898 58986 60059 62263 62814 73902 78698 81586 94221 110853 118047 120118 122379 124526 180177 186789 188442 221706 234023 236094 244758 354141 357193 360354 367137 373578 468046 540531 560367 702069 708282 714386 734274 1071579 1081062 1120734 1141121 1182997 1404138 2106207 2143158 2282242 2365994 3214737 3423363 3548991 4212414 4446437 6429474 6786667 6846726 7097982 8892874 10270089 10646973 13339311 13573334 20360001 20540178 21293946 26678622 40017933 40720002 61080003 80035866 122160006 128946673 257893346 386840019 773680038 1160520057 2321040114