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12302216331366 = 23131729448371363
BaseRepresentation
bin1011001100000101010100…
…1111000000000001100110
31121120002011121102102121110
42303001111033000001212
53103024414340100431
642055320554525450
72406543250313343
oct263012517000146
947502147372543
1012302216331366
113a13382445715
121468303436886
136b312b74a470
1430760520d7ca
1516501ee75346
hexb30553c0066

12302216331366 has 128 divisors (see below), whose sum is σ = 29030053086720. Its totient is φ = 3438967891968.

The previous prime is 12302216331313. The next prime is 12302216331389. The reversal of 12302216331366 is 66313361220321.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 172353601 + ... + 172424963.

It is an arithmetic number, because the mean of its divisors is an integer number (226797289740).

Almost surely, 212302216331366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12302216331366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515026543360).

12302216331366 is an abundant number, since it is smaller than the sum of its proper divisors (16727836755354).

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

12302216331366 is a wasteful number, since it uses less digits than its factorization.

12302216331366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75910.

The product of its (nonzero) digits is 139968, while the sum is 39.

Adding to 12302216331366 its reverse (66313361220321), we get a palindrome (78615577551687).

The spelling of 12302216331366 in words is "twelve trillion, three hundred two billion, two hundred sixteen million, three hundred thirty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 13 17 26 29 34 39 51 58 78 87 102 174 221 377 442 493 663 754 986 1131 1326 1479 2262 2958 4483 6409 8966 12818 13449 19227 26898 38454 58279 71363 76211 116558 130007 142726 152422 174837 214089 228633 260014 349674 390021 428178 457266 780042 927719 990743 1213171 1690091 1855438 1981486 2069527 2210119 2426342 2783157 2972229 3380182 3639513 4139054 4420238 5070273 5566314 5944458 6208581 6630357 7279026 10140546 12417162 13260714 15771223 26903851 28731547 31542446 35181959 47313669 53807702 57463094 70363918 80711553 86194641 94627338 105545877 161423106 172389282 211091754 319920329 457365467 639840658 914730934 959760987 1372096401 1919521974 2744192802 4158964277 5438645593 8317928554 9277689541 10877291186 12476892831 16315936779 18555379082 24953785662 27833068623 32631873558 55666137246 70702392709 120609964033 141404785418 157720722197 212107178127 241219928066 315441444394 361829892099 424214356254 473162166591 723659784198 946324333182 2050369388561 4100738777122 6151108165683 12302216331366