Search a number
-
+
11331332203230 = 2335135036418091
BaseRepresentation
bin1010010011100100100000…
…0001111110001011011110
31111010021011000122112201000
42210321020001332023132
52441123032021000410
640033313034331130
72246442655351164
oct244711001761336
944107130575630
1011331332203230
113679655692246
121330108289aa6
13642703619790
142b2621a27234
15149b498e3dc0
hexa4e4807e2de

11331332203230 has 128 divisors (see below), whose sum is σ = 32605961149440. Its totient is φ = 2783705339520.

The previous prime is 11331332203211. The next prime is 11331332203267. The reversal of 11331332203230 is 3230223313311.

11331332203230 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 332 + 2 + 0 + 323 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11331332203194 and 11331332203203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1443516 + ... + 4974575.

It is an arithmetic number, because the mean of its divisors is an integer number (254734071480).

Almost surely, 211331332203230 is an apocalyptic number.

11331332203230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11331332203230 is an abundant number, since it is smaller than the sum of its proper divisors (21274628946210).

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

11331332203230 is a wasteful number, since it uses less digits than its factorization.

11331332203230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6418623 (or 6418617 counting only the distinct ones).

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

Adding to 11331332203230 its reverse (3230223313311), we get a palindrome (14561555516541).

The spelling of 11331332203230 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirty-two million, two hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 503 585 702 1006 1170 1509 1755 2515 3018 3510 4527 5030 6539 7545 9054 13078 13581 15090 19617 22635 27162 32695 39234 45270 58851 65390 67905 98085 117702 135810 176553 196170 294255 353106 588510 882765 1765530 6418091 12836182 19254273 32090455 38508546 57762819 64180910 83435183 96271365 115525638 166870366 173288457 192542730 250305549 288814095 346576914 417175915 500611098 577628190 750916647 834351830 866442285 1251527745 1501833294 1732884570 2252749941 2503055490 3228299773 3754583235 4505499882 6456599546 7509166470 9684899319 11263749705 16141498865 19369798638 22527499410 29054697957 32282997730 41967897049 48424496595 58109395914 83935794098 87164093871 96848993190 125903691147 145273489785 174328187742 209839485245 251807382294 290546979570 377711073441 419678970490 435820469355 629518455735 755422146882 871640938710 1133133220323 1259036911470 1888555367205 2266266440646 3777110734410 5665666101615 11331332203230