Search a number
-
+
10512480105 = 35552116607
BaseRepresentation
bin10011100101001011…
…11011011101101001
31000010122002022200000
421302211323131221
5133012143330410
64455050533213
7521336415021
oct116245733551
930118068600
1010512480105
114505025996
122054737209
13cb6c21c3a
1471a246a81
15417d8ddc0
hex27297b769

10512480105 has 48 divisors (see below), whose sum is σ = 18933917184. Its totient is φ = 5595557760.

The previous prime is 10512480101. The next prime is 10512480149. The reversal of 10512480105 is 50108421501.

10512480105 is a `hidden beast` number, since 1 + 0 + 512 + 48 + 0 + 105 = 666.

It is not a de Polignac number, because 10512480105 - 22 = 10512480101 is a prime.

It is a super-2 number, since 2×105124801052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10512480101) 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, 624712 + ... + 641318.

It is an arithmetic number, because the mean of its divisors is an integer number (394456608).

Almost surely, 210512480105 is an apocalyptic number.

10512480105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10512480105 is a deficient number, since it is larger than the sum of its proper divisors (8421437079).

10512480105 is an equidigital number, since it uses as much as digits as its factorization.

10512480105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17148 (or 17136 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 10512480105 in words is "ten billion, five hundred twelve million, four hundred eighty thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 521 1215 1563 2605 4689 7815 14067 16607 23445 42201 49821 70335 83035 126603 149463 211005 249105 448389 633015 747315 1345167 2241945 4035501 6725835 8652247 20177505 25956741 43261235 77870223 129783705 233610669 389351115 700832007 1168053345 2102496021 3504160035 10512480105