Search a number
-
+
11330213330232 = 23327315511138977
BaseRepresentation
bin1010010011100000010101…
…0101110011110100111000
31111010011021001021220111100
42210320011111303310320
52441113234103031412
640033010025131400
72246403151161606
oct244700525636470
944104231256440
1011330213330232
113679131057415
12132ba55629b60
1364258588b654
142b25571b4876
15149ad1580edc
hexa4e05573d38

11330213330232 has 96 divisors (see below), whose sum is σ = 31108579800480. Its totient is φ = 3724734689280.

The previous prime is 11330213330203. The next prime is 11330213330273. The reversal of 11330213330232 is 23203331203311.

11330213330232 is a `hidden beast` number, since 1 + 1 + 3 + 302 + 1 + 3 + 330 + 23 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11330213330196 and 11330213330205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81456328 + ... + 81595304.

It is an arithmetic number, because the mean of its divisors is an integer number (324047706255).

Almost surely, 211330213330232 is an apocalyptic number.

11330213330232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11330213330232 is an abundant number, since it is smaller than the sum of its proper divisors (19778366470248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11330213330232 is a wasteful number, since it uses less digits than its factorization.

11330213330232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154573 (or 154566 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 11330213330232 its reverse (23203331203311), we get a palindrome (34533544533543).

The spelling of 11330213330232 in words is "eleven trillion, three hundred thirty billion, two hundred thirteen million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 15511 31022 46533 62044 93066 124088 138977 139599 186132 277954 279198 372264 416931 555908 558396 833862 1111816 1116792 1132303 1250793 1667724 2264606 2501586 3335448 3396909 4529212 5003172 6793818 9058424 10006344 10145321 10190727 13587636 20290642 20381454 27175272 30435963 40581284 40762908 60871926 81162568 81525816 91307889 121743852 182615778 243487704 365231556 730463112 2155672247 4311344494 6467016741 8622688988 12934033482 17245377976 19401050223 25868066964 38802100446 51736133928 77604200892 155208401784 157364074031 314728148062 472092222093 629456296124 944184444186 1258912592248 1416276666279 1888368888372 2832553332558 3776737776744 5665106665116 11330213330232