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13442323300 = 22527171959453
BaseRepresentation
bin11001000010011100…
…11001001101100100
31021200211002202221221
430201032121031210
5210012213321200
610101511350124
7654053601640
oct144116311544
937624082857
1013442323300
1157789284aa
122731982344
131362c11473
149173c9c20
1553a1c591a
hex321399364

13442323300 has 144 divisors (see below), whose sum is σ = 37156371840. Its totient is φ = 4109322240.

The previous prime is 13442323277. The next prime is 13442323309. The reversal of 13442323300 is 332324431.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13442323309) 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, 196374 + ... + 255826.

It is an arithmetic number, because the mean of its divisors is an integer number (258030360).

Almost surely, 213442323300 is an apocalyptic number.

13442323300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18578185920).

13442323300 is an abundant number, since it is smaller than the sum of its proper divisors (23714048540).

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

13442323300 is a wasteful number, since it uses less digits than its factorization.

13442323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59510 (or 59503 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 13442323300 its reverse (332324431), we get a palindrome (13774647731).

The spelling of 13442323300 in words is "thirteen billion, four hundred forty-two million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 19 20 25 28 34 35 38 50 68 70 76 85 95 100 119 133 140 170 175 190 238 266 323 340 350 380 425 475 476 532 595 646 665 700 850 950 1190 1292 1330 1615 1700 1900 2261 2380 2660 2975 3230 3325 4522 5950 6460 6650 8075 9044 11305 11900 13300 16150 22610 32300 45220 56525 59453 113050 118906 226100 237812 297265 416171 594530 832342 1010701 1129607 1189060 1486325 1664684 2021402 2080855 2259214 2972650 4042804 4161710 4518428 5053505 5648035 5945300 7074907 7907249 8323420 10107010 10404275 11296070 14149814 15814498 19203319 20214020 20808550 22592140 25267525 28240175 28299628 31628996 35374535 38406638 39536245 41617100 50535050 56480350 70749070 76813276 79072490 96016595 101070100 112960700 134423233 141498140 158144980 176872675 192033190 197681225 268846466 353745350 384066380 395362450 480082975 537692932 672116165 707490700 790724900 960165950 1344232330 1920331900 2688464660 3360580825 6721161650 13442323300