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2100417425 = 52241348617
BaseRepresentation
bin111110100110001…
…1101001110010001
312102101022021000222
41331030131032101
513300201324200
6544231122425
7103023152651
oct17514351621
95371267028
102100417425
119886a3777
124a7513415
13276205b62
1415cd58361
15c45ead85
hex7d31d391

2100417425 has 12 divisors (see below), whose sum is σ = 2615332236. Its totient is φ = 1673356800.

The previous prime is 2100417421. The next prime is 2100417437. The reversal of 2100417425 is 5247140012.

It can be written as a sum of positive squares in 6 ways, for example, as 316875601 + 1783541824 = 17801^2 + 42232^2 .

It is not a de Polignac number, because 2100417425 - 22 = 2100417421 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100417394 and 2100417403.

It is not an unprimeable number, because it can be changed into a prime (2100417421) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 168284 + ... + 180333.

It is an arithmetic number, because the mean of its divisors is an integer number (217944353).

Almost surely, 22100417425 is an apocalyptic number.

2100417425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2100417425 is a deficient number, since it is larger than the sum of its proper divisors (514914811).

2100417425 is a wasteful number, since it uses less digits than its factorization.

2100417425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348868 (or 348863 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2100417425 is about 45830.3112033946. The cubic root of 2100417425 is about 1280.6640078992.

Adding to 2100417425 its reverse (5247140012), we get a palindrome (7347557437).

The spelling of 2100417425 in words is "two billion, one hundred million, four hundred seventeen thousand, four hundred twenty-five".

Divisors: 1 5 25 241 1205 6025 348617 1743085 8715425 84016697 420083485 2100417425