Search a number
-
+
11303121414123 = 3372112526113421
BaseRepresentation
bin1010010001111011011010…
…0010010110011111101011
31111000120022222001222021000
42210132312202112133223
52440142243040222443
640012325435250043
72244423612532500
oct244366642263753
944016288058230
1011303121414123
113668699403900
1213267545a9923
1363cb58b37966
142b11070874a7
15149047de18d3
hexa47b68967eb

11303121414123 has 144 divisors (see below), whose sum is σ = 21416799267360. Its totient is φ = 5870197872000.

The previous prime is 11303121414059. The next prime is 11303121414131. The reversal of 11303121414123 is 32141412130311.

11303121414123 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 3 + 121 + 414 + 123 = 666.

It is not a de Polignac number, because 11303121414123 - 26 = 11303121414059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11303121414023) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 842189953 + ... + 842203373.

It is an arithmetic number, because the mean of its divisors is an integer number (148727772690).

Almost surely, 211303121414123 is an apocalyptic number.

11303121414123 is a deficient number, since it is larger than the sum of its proper divisors (10113677853237).

11303121414123 is a wasteful number, since it uses less digits than its factorization.

11303121414123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18727 (or 18703 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11303121414123 its reverse (32141412130311), we get a palindrome (43444533544434).

The spelling of 11303121414123 in words is "eleven trillion, three hundred three billion, one hundred twenty-one million, four hundred fourteen thousand, one hundred twenty-three".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 121 147 189 231 297 363 441 539 693 847 1089 1323 1617 2079 2541 3267 4851 5261 5929 7623 13421 14553 15783 17787 22869 36827 40263 47349 53361 57871 93947 110481 120789 142047 147631 160083 173613 257789 281841 331443 362367 405097 442893 520839 636581 657629 773367 845523 994329 1033417 1215291 1328679 1562517 1623941 1909743 1972887 2320101 2536569 2835679 3100251 3645873 3986037 4456067 4871823 5729229 5918661 6960303 7233919 8507037 9300753 10937619 11367587 13368201 14615469 17187687 17755983 21701757 25521111 27902259 31192469 34102761 40104603 43846407 65105271 70607881 76563333 79573109 93577407 102308283 120313809 195315813 211823643 238719327 280732221 306924849 494255167 635470929 716157981 776686691 842196663 1482765501 1906412787 2148473943 2330060073 3459786169 4448296503 5436806837 6990180219 8543553601 10379358507 13344889509 16310420511 20970540657 25630660803 31138075521 38057647859 48931261533 59804875207 76891982409 93414226563 114172943577 146793784599 179414625621 230675947227 342518830731 418634126449 538243876863 1027556492193 1255902379347 1614731630589 3767707138041 11303121414123