Search a number
-
+
2134041025 = 52172535573
BaseRepresentation
bin111111100110010…
…1110000111000001
312111201120111221111
41333030232013001
513332303303100
6551431523321
7103612022644
oct17714560701
95451514844
102134041025
119a5679676
124b6829541
1328017928c
141635cba5b
15c753d6ba
hex7f32e1c1

2134041025 has 36 divisors (see below), whose sum is σ = 2864578932. Its totient is φ = 1576207360.

The previous prime is 2134040989. The next prime is 2134041073. The reversal of 2134041025 is 5201404312.

It can be written as a sum of positive squares in 18 ways, for example, as 1110488976 + 1023552049 = 33324^2 + 31993^2 .

It is a de Polignac number, because none of the positive numbers 2k-2134041025 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2134040987 and 2134041005.

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 35 ways as a sum of consecutive naturals, for example, 380139 + ... + 385711.

It is an arithmetic number, because the mean of its divisors is an integer number (79571637).

Almost surely, 22134041025 is an apocalyptic number.

2134041025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2134041025 is a deficient number, since it is larger than the sum of its proper divisors (730537907).

2134041025 is a wasteful number, since it uses less digits than its factorization.

2134041025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2134041025 is about 46195.6818869470. The cubic root of 2134041025 is about 1287.4615114017.

Adding to 2134041025 its reverse (5201404312), we get a palindrome (7335445337).

The spelling of 2134041025 in words is "two billion, one hundred thirty-four million, forty-one thousand, twenty-five".

Divisors: 1 5 17 25 53 85 265 289 425 901 1325 1445 4505 5573 7225 15317 22525 27865 76585 94741 139325 295369 382925 473705 1476845 1610597 2368525 5021273 7384225 8052985 25106365 40264925 85361641 125531825 426808205 2134041025