Search a number
-
+
11230144130331 = 3272511823389569
BaseRepresentation
bin1010001101101011100011…
…0000000110110100011011
31110202120222001102211211100
42203122320300012310123
52432443313344132311
635515020151002443
72236231304051250
oct243327060066433
943676861384740
1011230144130331
11363a74a657415
121314588669423
13635cc8930629
142ab782c9d427
151471c6227a56
hexa36b8c06d1b

11230144130331 has 48 divisors (see below), whose sum is σ = 18622767421440. Its totient is φ = 6388136064000.

The previous prime is 11230144130327. The next prime is 11230144130407. The reversal of 11230144130331 is 13303144103211.

11230144130331 is a `hidden beast` number, since 1 + 1 + 230 + 14 + 413 + 0 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 11230144130331 - 22 = 11230144130327 is a prime.

It is a super-2 number, since 2×112301441303312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11230144130295 and 11230144130304.

It is not an unprimeable number, because it can be changed into a prime (11230144130531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28632315 + ... + 29021883.

It is an arithmetic number, because the mean of its divisors is an integer number (387974321280).

Almost surely, 211230144130331 is an apocalyptic number.

11230144130331 is a deficient number, since it is larger than the sum of its proper divisors (7392623291109).

11230144130331 is a wasteful number, since it uses less digits than its factorization.

11230144130331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391656 (or 391653 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11230144130331 its reverse (13303144103211), we get a palindrome (24533288233542).

The spelling of 11230144130331 in words is "eleven trillion, two hundred thirty billion, one hundred forty-four million, one hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 251 753 1757 1823 2259 5271 5469 12761 15813 16407 38283 114849 389569 457573 1168707 1372719 2726983 3203011 3506121 4118157 8180949 9609033 24542847 28827099 97781819 293345457 684472733 710184287 880036371 2053418199 2130552861 4971290009 6160254597 6391658583 14913870027 44741610081 178256256037 534768768111 1247793792259 1604306304333 3743381376777 11230144130331