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11311222230 = 23257211233173
BaseRepresentation
bin10101000100011001…
…11000110111010110
31002012022001121212200
422202030320313112
5141131133102410
65110222425330
7550205542200
oct124214706726
932168047780
1011311222230
114884987750
122238132246
1310b3554409
14794365770
154630683c0
hex2a2338dd6

11311222230 has 144 divisors (see below), whose sum is σ = 37320897744. Its totient is φ = 2350373760.

The previous prime is 11311222171. The next prime is 11311222277. The reversal of 11311222230 is 3222211311.

11311222230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68077 + ... + 165096.

It is an arithmetic number, because the mean of its divisors is an integer number (259172901).

Almost surely, 211311222230 is an apocalyptic number.

11311222230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11311222230 is an abundant number, since it is smaller than the sum of its proper divisors (26009675514).

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

11311222230 is a wasteful number, since it uses less digits than its factorization.

11311222230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233211 (or 233201 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11311222230 its reverse (3222211311), we get a palindrome (14533433541).

The spelling of 11311222230 in words is "eleven billion, three hundred eleven million, two hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 294 315 330 385 441 462 490 495 539 630 693 735 770 882 990 1078 1155 1386 1470 1617 2205 2310 2695 3234 3465 4410 4851 5390 6930 8085 9702 16170 24255 48510 233173 466346 699519 1165865 1399038 1632211 2098557 2331730 2564903 3264422 3497595 4197114 4896633 5129806 6995190 7694709 8161055 9793266 10492785 11425477 12824515 14689899 15389418 16322110 17954321 20985570 22850954 23084127 24483165 25649030 29379798 34276431 35908642 38473545 46168254 48966330 53862963 57127385 68552862 73449495 76947090 89771605 102829293 107725926 114254770 115420635 125680247 146898990 161588889 171382155 179543210 205658586 230841270 251360494 269314815 323177778 342764310 377040741 514146465 538629630 628401235 754081482 807944445 1028292930 1131122223 1256802470 1615888890 1885203705 2262244446 3770407410 5655611115 11311222230