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10021434125 = 53174715969
BaseRepresentation
bin10010101010101001…
…01111001100001101
3221212102002121012212
421111110233030031
5131010441343000
64334230040205
7503224533053
oct112524571415
927772077185
1010021434125
11428292486a
121b381a9065
13c392835a1
146b0d421d3
153d9be3c35
hex25552f30d

10021434125 has 16 divisors (see below), whose sum is σ = 13242443760. Its totient is φ = 7545548800.

The previous prime is 10021434083. The next prime is 10021434161. The reversal of 10021434125 is 52143412001.

10021434125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3096032164 + 6925401961 = 55642^2 + 83219^2 .

It is not a de Polignac number, because 10021434125 - 216 = 10021368589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10021434125.

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, 2355860 + ... + 2360109.

It is an arithmetic number, because the mean of its divisors is an integer number (827652735).

Almost surely, 210021434125 is an apocalyptic number.

It is an amenable number.

10021434125 is a deficient number, since it is larger than the sum of its proper divisors (3221009635).

10021434125 is an equidigital number, since it uses as much as digits as its factorization.

10021434125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716001 (or 4715991 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 10021434125 its reverse (52143412001), we get a palindrome (62164846126).

The spelling of 10021434125 in words is "ten billion, twenty-one million, four hundred thirty-four thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 2125 4715969 23579845 80171473 117899225 400857365 589496125 2004286825 10021434125