[go: up one dir, main page]

Search a number
-
+
101443104 = 253475591
BaseRepresentation
bin1100000101111…
…10011000100000
321001212211210000
412002332120200
5201432134404
614022140000
72341152330
oct602763040
9231784700
10101443104
1152297784
1229b81600
131802a609
14d6890c0
158d8c339
hex60be620

101443104 has 120 divisors (see below), whose sum is σ = 341022528. Its totient is φ = 28978560.

The previous prime is 101443093. The next prime is 101443117. The reversal of 101443104 is 401344101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15349 + ... + 20939.

Almost surely, 2101443104 is an apocalyptic number.

101443104 is a gapful number since it is divisible by the number (14) 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 101443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170511264).

101443104 is an abundant number, since it is smaller than the sum of its proper divisors (239579424).

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

101443104 is an equidigital number, since it uses as much as digits as its factorization.

101443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101443104 is about 10071.8967429179. The cubic root of 101443104 is about 466.3809934128.

Adding to 101443104 its reverse (401344101), we get a palindrome (502787205).

The spelling of 101443104 in words is "one hundred one million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 5591 6048 9072 11182 16773 18144 22364 33546 39137 44728 50319 67092 78274 89456 100638 117411 134184 150957 156548 178912 201276 234822 268368 301914 313096 352233 402552 452871 469644 536736 603828 626192 704466 805104 905742 939288 1056699 1207656 1252384 1408932 1610208 1811484 1878576 2113398 2415312 2817864 3170097 3622968 3757152 4226796 4830624 5635728 6340194 7245936 8453592 11271456 12680388 14491872 16907184 25360776 33814368 50721552 101443104