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12244303104 = 2831110913297
BaseRepresentation
bin10110110011101000…
…10011110100000000
31011121022211001012120
423121310103310000
5200034020144404
65342553524240
7612265600455
oct133164236400
934538731176
1012244303104
115213654170
122458713680
131201961187
1484225382c
154b9e2b9d9
hex2d9d13d00

12244303104 has 144 divisors (see below), whose sum is σ = 35879067840. Its totient is φ = 3676078080.

The previous prime is 12244303103. The next prime is 12244303129. The reversal of 12244303104 is 40130344221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12244303103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 914184 + ... + 927480.

Almost surely, 212244303104 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 12244303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17939533920).

12244303104 is an abundant number, since it is smaller than the sum of its proper divisors (23634764736).

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

12244303104 is a wasteful number, since it uses less digits than its factorization.

12244303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13436 (or 13422 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12244303104 its reverse (40130344221), we get a palindrome (52374647325).

The spelling of 12244303104 in words is "twelve billion, two hundred forty-four million, three hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 109 128 132 176 192 218 256 264 327 352 384 436 528 654 704 768 872 1056 1199 1308 1408 1744 2112 2398 2616 2816 3488 3597 4224 4796 5232 6976 7194 8448 9592 10464 13297 13952 14388 19184 20928 26594 27904 28776 38368 39891 41856 53188 57552 76736 79782 83712 106376 115104 146267 153472 159564 212752 230208 292534 306944 319128 425504 438801 460416 585068 638256 851008 877602 920832 1170136 1276512 1449373 1702016 1755204 2340272 2553024 2898746 3404032 3510408 4348119 4680544 5106048 5797492 7020816 8696238 9361088 10212096 11594984 14041632 15943103 17392476 18722176 23189968 28083264 31886206 34784952 37444352 46379936 47829309 56166528 63772412 69569904 92759872 95658618 112333056 127544824 139139808 185519744 191317236 255089648 278279616 371039488 382634472 510179296 556559232 765268944 1020358592 1113118464 1530537888 2040717184 3061075776 4081434368 6122151552 12244303104