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12131324244 = 223213137431439
BaseRepresentation
bin10110100110001010…
…10101000101010100
31011022110020010100100
423103011111011110
5144321104333434
65323440214100
7606424361154
oct132305250524
934273203310
1012131324244
1151658a8506
12242690a330
1311b4424c90
14831244764
154b0061699
hex2d3155154

12131324244 has 144 divisors (see below), whose sum is σ = 33418344960. Its totient is φ = 3688450560.

The previous prime is 12131324243. The next prime is 12131324251. The reversal of 12131324244 is 44242313121.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131324243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27633777 + ... + 27634215.

It is an arithmetic number, because the mean of its divisors is an integer number (232071840).

Almost surely, 212131324244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131324244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16709172480).

12131324244 is an abundant number, since it is smaller than the sum of its proper divisors (21287020716).

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

12131324244 is a wasteful number, since it uses less digits than its factorization.

12131324244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1025 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12131324244 its reverse (44242313121), we get a palindrome (56373637365).

The spelling of 12131324244 in words is "twelve billion, one hundred thirty-one million, three hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 137 156 234 274 411 431 439 468 548 822 862 878 1233 1293 1317 1644 1724 1756 1781 2466 2586 2634 3562 3879 3951 4932 5172 5268 5343 5603 5707 7124 7758 7902 10686 11206 11414 15516 15804 16029 16809 17121 21372 22412 22828 32058 33618 34242 50427 51363 59047 60143 64116 67236 68484 100854 102726 118094 120286 177141 180429 189209 201708 205452 236188 240572 354282 360858 378418 531423 541287 567627 708564 721716 756836 767611 781859 1062846 1082574 1135254 1535222 1563718 1702881 2125692 2165148 2270508 2302833 2345577 2459717 3070444 3127436 3405762 4605666 4691154 4919434 6811524 6908499 7036731 7379151 9211332 9382308 9838868 13816998 14073462 14758302 22137453 25921633 27633996 28146924 29516604 44274906 51843266 77764899 88549812 103686532 155529798 233294697 311059596 336981229 466589394 673962458 933178788 1010943687 1347924916 2021887374 3032831061 4043774748 6065662122 12131324244