Search a number
-
+
1110110110011 = 327237949119751
BaseRepresentation
bin10000001001110111101…
…110000000000100111011
310221010101111000120101200
4100021313232000010323
5121142001142010021
62205551052145243
7143126364146640
oct20116756000473
93833344016350
101110110110011
11398882242311
1215b191768223
13808b5538ba6
143ba300cddc7
151dd2335e126
hex10277b8013b

1110110110011 has 96 divisors (see below), whose sum is σ = 1940487045120. Its totient is φ = 597837240000.

The previous prime is 1110110110007. The next prime is 1110110110051. The reversal of 1110110110011 is 1100110110111.

It is not a de Polignac number, because 1110110110011 - 22 = 1110110110007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1110110109975 and 1110110110002.

It is not an unprimeable number, because it can be changed into a prime (1110110110051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56195386 + ... + 56215136.

It is an arithmetic number, because the mean of its divisors is an integer number (20213406720).

Almost surely, 21110110110011 is an apocalyptic number.

1110110110011 is a deficient number, since it is larger than the sum of its proper divisors (830376935109).

1110110110011 is a wasteful number, since it uses less digits than its factorization.

1110110110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20357 (or 20354 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1110110110011 its reverse (1100110110111), we get a palindrome (2210220220122).

The spelling of 1110110110011 in words is "one trillion, one hundred ten billion, one hundred ten million, one hundred ten thousand, eleven".

Divisors: 1 3 7 9 21 23 63 69 79 161 207 237 483 491 553 711 1449 1473 1659 1817 3437 4419 4977 5451 10311 11293 12719 16353 19751 30933 33879 38157 38789 59253 79051 101637 114471 116367 138257 177759 237153 271523 349101 414771 454273 711459 814569 892147 1244313 1362819 1560329 2443707 2676441 3179911 4088457 4680987 6245029 8029323 9539733 9697741 10922303 14042961 18735087 28619199 29093223 32766909 35887567 56205261 67884187 87279669 98300727 107662701 203652561 223048043 251212969 322988103 610957683 669144129 753638907 766121539 1561336301 2007432387 2260916721 2298364617 4684008903 5362850773 6895093851 14052026709 16088552319 17620795397 48265656957 52862386191 123345567779 158587158573 370036703337 1110110110011