Search a number
-
+
2330100211113 = 342331092199
BaseRepresentation
bin100001111010000100110…
…010111001110110101001
322020202101200122000220000
4201322010302321312221
5301134021123223423
64542233330053213
7330226025001063
oct41720462716651
98222350560800
102330100211113
1181920a907214
12317709a1a209
1313b95c44398c
1480ac5484733
1540927eac843
hex21e84cb9da9

2330100211113 has 120 divisors (see below), whose sum is σ = 3691117584000. Its totient is φ = 1464831114912.

The previous prime is 2330100211111. The next prime is 2330100211213. The reversal of 2330100211113 is 3111120010332.

2330100211113 is a `hidden beast` number, since 2 + 330 + 10 + 0 + 211 + 113 = 666.

2330100211113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2330100211113 - 21 = 2330100211111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2330100211111) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11709046188 + ... + 11709046386.

It is an arithmetic number, because the mean of its divisors is an integer number (30759313200).

Almost surely, 22330100211113 is an apocalyptic number.

2330100211113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2330100211113 is a deficient number, since it is larger than the sum of its proper divisors (1361017372887).

2330100211113 is an frugal number, since it uses more digits than its factorization.

2330100211113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2330100211113 its reverse (3111120010332), we get a palindrome (5441220221445).

The spelling of 2330100211113 in words is "two trillion, three hundred thirty billion, one hundred million, two hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 9 23 27 69 81 109 199 207 327 529 597 621 981 1587 1791 1863 2507 2943 4577 4761 5373 7521 8829 11881 12167 13731 14283 16119 21691 22563 35643 36501 41193 42849 57661 65073 67689 105271 106929 109503 123579 172983 195219 203067 273263 315813 320787 328509 370737 498893 518949 585657 819789 947439 962361 985527 1326203 1496679 1556847 1756971 2364319 2421233 2459367 2842317 3978609 4490037 4670541 6285049 7092957 7263699 7378101 8526951 11474539 11935827 13470111 18855147 21278871 21791097 22134303 34423617 35807481 40410333 54379337 56565441 63836613 65373291 103270851 107422443 144556127 163138011 169696323 191509839 196119873 263914397 309812553 433668381 489414033 509088969 791743191 929437659 1250724751 1301005143 1468242099 2375229573 3752174253 3903015429 4404726297 7125688719 11256522759 11709046287 21377066157 28766669273 33769568277 86300007819 101308704831 258900023457 776700070371 2330100211113