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12205344030 = 23511435316229
BaseRepresentation
bin10110101110111111…
…01100010100011110
31011111121111201101220
423113133230110132
5144444032002110
65335042514210
7611313466245
oct132737542436
934447451356
1012205344030
1151a3664690
122447665966
1311c6870379
1483add195c
154b67d3370
hex2d77ec51e

12205344030 has 128 divisors (see below), whose sum is σ = 33317982720. Its totient is φ = 2835356160.

The previous prime is 12205344007. The next prime is 12205344049. The reversal of 12205344030 is 3044350221.

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, 743956 + ... + 760184.

It is an arithmetic number, because the mean of its divisors is an integer number (260296740).

Almost surely, 212205344030 is an apocalyptic number.

12205344030 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 12205344030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16658991360).

12205344030 is an abundant number, since it is smaller than the sum of its proper divisors (21112638690).

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

12205344030 is a wasteful number, since it uses less digits than its factorization.

12205344030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16346.

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 12205344030 its reverse (3044350221), we get a palindrome (15249694251).

The spelling of 12205344030 in words is "twelve billion, two hundred five million, three hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 53 55 66 86 106 110 129 159 165 215 258 265 318 330 430 473 530 583 645 795 946 1166 1290 1419 1590 1749 2279 2365 2838 2915 3498 4558 4730 5830 6837 7095 8745 11395 13674 14190 16229 17490 22790 25069 32458 34185 48687 50138 68370 75207 81145 97374 125345 150414 162290 178519 243435 250690 357038 376035 486870 535557 697847 752070 860137 892595 1071114 1395694 1720274 1785190 2093541 2580411 2677785 3489235 4187082 4300685 5160822 5355570 6978470 7676317 8601370 9461507 10467705 12902055 15352634 18923014 20935410 23028951 25804110 28384521 36985891 38381585 46057902 47307535 56769042 73971782 76763170 94615070 110957673 115144755 141922605 184929455 221915346 230289510 283845210 369858910 406844801 554788365 813689602 1109576730 1220534403 2034224005 2441068806 4068448010 6102672015 12205344030