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2105421025 = 522953157349
BaseRepresentation
bin111110101111110…
…0010110011100001
312102201201110200111
41331133202303201
513302441433100
6544530251321
7103113532501
oct17537426341
95381643614
102105421025
11990500a84
124a9126b41
13277268476
1415d89ba01
15c4c886ba
hex7d7e2ce1

2105421025 has 48 divisors (see below), whose sum is σ = 2777166000. Its totient is φ = 1580866560.

The previous prime is 2105421023. The next prime is 2105421037. The reversal of 2105421025 is 5201245012.

It can be written as a sum of positive squares in 24 ways, for example, as 1053132304 + 1052288721 = 32452^2 + 32439^2 .

It is not a de Polignac number, because 2105421025 - 21 = 2105421023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2105420987 and 2105421005.

It is not an unprimeable number, because it can be changed into a prime (2105421023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6032551 + ... + 6032899.

It is an arithmetic number, because the mean of its divisors is an integer number (57857625).

Almost surely, 22105421025 is an apocalyptic number.

2105421025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2105421025 is a deficient number, since it is larger than the sum of its proper divisors (671744975).

2105421025 is a wasteful number, since it uses less digits than its factorization.

2105421025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2105421025 is about 45884.8670587591. The cubic root of 2105421025 is about 1281.6801311339.

Adding to 2105421025 its reverse (5201245012), we get a palindrome (7306666037).

The spelling of 2105421025 in words is "two billion, one hundred five million, four hundred twenty-one thousand, twenty-five".

Divisors: 1 5 25 29 53 145 157 265 349 725 785 1325 1537 1745 3925 4553 7685 8321 8725 10121 18497 22765 38425 41605 50605 54793 92485 113825 208025 241309 253025 273965 462425 536413 1206545 1369825 1588997 2682065 2904029 6032725 7944985 13410325 14520145 39724925 72600725 84216841 421084205 2105421025