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101343443408 = 24173733729881
BaseRepresentation
bin101111001100010001…
…0100011100111010000
3100200120210120100010222
41132120202203213100
53130022410142113
6114320113412212
710215246025064
oct1363042434720
9320523510128
10101343443408
1139a85806009
121778386a068
139730c4867c
144c9564daa4
15298215be08
hex17988a39d0

101343443408 has 80 divisors (see below), whose sum is σ = 214162859664. Its totient is φ = 46262845440.

The previous prime is 101343443389. The next prime is 101343443441. The reversal of 101343443408 is 804344343101.

It can be written as a sum of positive squares in 8 ways, for example, as 99840064 + 101243603344 = 9992^2 + 318188^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3376628 + ... + 3406508.

Almost surely, 2101343443408 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 101343443408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107081429832).

101343443408 is an abundant number, since it is smaller than the sum of its proper divisors (112819416256).

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

101343443408 is a wasteful number, since it uses less digits than its factorization.

101343443408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30280 (or 30274 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 101343443408 its reverse (804344343101), we get a palindrome (905687786509).

The spelling of 101343443408 in words is "one hundred one billion, three hundred forty-three million, four hundred forty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 337 592 629 674 1258 1348 2516 2696 5032 5392 5729 10064 11458 12469 22916 24938 29881 45832 49876 59762 91664 99752 119524 199504 211973 239048 423946 478096 507977 847892 1015954 1105597 1695784 2031908 2211194 3391568 4063816 4422388 8127632 8844776 10069897 17689552 18795149 20139794 37590298 40279588 75180596 80559176 150361192 161118352 171188249 300722384 342376498 372586189 684752996 745172378 1369505992 1490344756 2739011984 2980689512 5961379024 6333965213 12667930426 25335860852 50671721704 101343443408