Search a number
-
+
11443302412311 = 3711893531576793
BaseRepresentation
bin1010011010000101100111…
…1110011011000000010111
31111111222011102100111211210
42212201121332123000113
52444441340404143221
640200551444432503
72260515462415350
oct246413176330027
944458142314753
1011443302412311
113712093981620
1213499569a8733
1365013905cc73
142b7c0474cd27
1514c9ee967276
hexa6859f9b017

11443302412311 has 64 divisors (see below), whose sum is σ = 19290876226560. Its totient is φ = 5861125079040.

The previous prime is 11443302412273. The next prime is 11443302412337. The reversal of 11443302412311 is 11321420334411.

11443302412311 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 11443302412311 - 214 = 11443302395927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11443302412511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6468931 + ... + 8045723.

It is an arithmetic number, because the mean of its divisors is an integer number (301419941040).

Almost surely, 211443302412311 is an apocalyptic number.

11443302412311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11443302412311 is a deficient number, since it is larger than the sum of its proper divisors (7847573814249).

11443302412311 is a wasteful number, since it uses less digits than its factorization.

11443302412311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577256.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 11443302412311 its reverse (11321420334411), we get a palindrome (22764722746722).

The spelling of 11443302412311 in words is "eleven trillion, four hundred forty-three billion, three hundred two million, four hundred twelve thousand, three hundred eleven".

Divisors: 1 3 7 11 21 33 77 89 231 267 353 623 979 1059 1869 2471 2937 3883 6853 7413 11649 20559 27181 31417 81543 94251 219919 345587 659757 1036761 1576793 2419109 4730379 7257327 11037551 17344723 33112653 52034169 121413061 140334577 364239183 421003731 556607929 982342039 1543680347 1669823787 2947026117 3896255503 4631041041 6122687219 10805762429 11688766509 18368061657 32417287287 42858810533 49538105681 128576431599 148614317043 346766739767 544919162491 1040300219301 1634757487473 3814434137437 11443302412311