Search a number
-
+
10103303123040 = 253521048548173
BaseRepresentation
bin1001001100000101101111…
…0010110011000001100000
31022202212101120021122001110
42103001123302303001200
52311013031044414130
633253220545303320
72061640161403161
oct223013362630140
938685346248043
1010103303123040
113245872247376
121172107934b40
135839780a192a
1426d006b3d768
15127c2414aab0
hex9305bcb3060

10103303123040 has 48 divisors (see below), whose sum is σ = 31825404839088. Its totient is φ = 2694214166016.

The previous prime is 10103303123029. The next prime is 10103303123093. The reversal of 10103303123040 is 4032130330101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10103303122998 and 10103303123016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10524273607 + ... + 10524274566.

It is an arithmetic number, because the mean of its divisors is an integer number (663029267481).

Almost surely, 210103303123040 is an apocalyptic number.

10103303123040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103303123040 is an abundant number, since it is smaller than the sum of its proper divisors (21722101716048).

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

10103303123040 is a wasteful number, since it uses less digits than its factorization.

10103303123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21048548191 (or 21048548183 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10103303123040 its reverse (4032130330101), we get a palindrome (14135433453141).

The spelling of 10103303123040 in words is "ten trillion, one hundred three billion, three hundred three million, one hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 21048548173 42097096346 63145644519 84194192692 105242740865 126291289038 168388385384 210485481730 252582578076 315728222595 336776770768 420970963460 505165156152 631456445190 673553541536 841941926920 1010330312304 1262912890380 1683883853840 2020660624608 2525825780760 3367767707680 5051651561520 10103303123040