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12230331330 = 2357439713963
BaseRepresentation
bin10110110001111110…
…00000101111000010
31011120100112012112110
423120333000233002
5200021431100310
65341334240150
7612036046440
oct133077005702
934510465473
1012230331330
115206780a48
122453ab6056
1311cbaab859
14840457b90
154b8abbd20
hex2d8fc0bc2

12230331330 has 128 divisors (see below), whose sum is σ = 34682554368. Its totient is φ = 2702149632.

The previous prime is 12230331299. The next prime is 12230331367. The reversal of 12230331330 is 3313303221.

12230331330 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 12230331297 and 12230331306.

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 63 ways as a sum of consecutive naturals, for example, 868929 + ... + 882891.

It is an arithmetic number, because the mean of its divisors is an integer number (270957456).

Almost surely, 212230331330 is an apocalyptic number.

12230331330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17341277184).

12230331330 is an abundant number, since it is smaller than the sum of its proper divisors (22452223038).

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

12230331330 is a wasteful number, since it uses less digits than its factorization.

12230331330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14120.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 12230331330 its reverse (3313303221), we get a palindrome (15543634551).

The spelling of 12230331330 in words is "twelve billion, two hundred thirty million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 97 105 129 194 210 215 258 291 301 430 485 582 602 645 679 903 970 1290 1358 1455 1505 1806 2037 2910 3010 3395 4074 4171 4515 6790 8342 9030 10185 12513 13963 20370 20855 25026 27926 29197 41710 41889 58394 62565 69815 83778 87591 97741 125130 139630 145985 175182 195482 209445 291970 293223 418890 437955 488705 586446 600409 875910 977410 1200818 1354411 1466115 1801227 2708822 2932230 3002045 3602454 4063233 4202863 6004090 6772055 8126466 8405726 9006135 9480877 12608589 13544110 18012270 18961754 20316165 21014315 25217178 28442631 40632330 42028630 47404385 56885262 58239673 63042945 94808770 116479346 126085890 142213155 174719019 284426310 291198365 349438038 407677711 582396730 815355422 873595095 1223033133 1747190190 2038388555 2446066266 4076777110 6115165665 12230331330