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261121013325 = 32521160537837
BaseRepresentation
bin1111001100110000000…
…1100111011001001101
3220221222222020212102200
43303030001213121031
513234233434411300
6315542441312113
724602551664064
oct3631401473115
9827888225380
10261121013325
11a0817006157
1242734a95639
131b8150a6753
14c8d17c31db
156bd430e200
hex3ccc06764d

261121013325 has 18 divisors (see below), whose sum is σ = 467696748714. Its totient is φ = 139264540320.

The previous prime is 261121013291. The next prime is 261121013339. The reversal of 261121013325 is 523310121162.

261121013325 is a `hidden beast` number, since 2 + 611 + 2 + 1 + 0 + 13 + 32 + 5 = 666.

261121013325 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 3 ways, for example, as 436224996 + 260684788329 = 20886^2 + 510573^2 .

It is not a de Polignac number, because 261121013325 - 29 = 261121012813 is a prime.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 580268694 + ... + 580269143.

Almost surely, 2261121013325 is an apocalyptic number.

261121013325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

261121013325 is a deficient number, since it is larger than the sum of its proper divisors (206575735389).

261121013325 is a wasteful number, since it uses less digits than its factorization.

261121013325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160537853 (or 1160537845 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 261121013325 its reverse (523310121162), we get a palindrome (784431134487).

The spelling of 261121013325 in words is "two hundred sixty-one billion, one hundred twenty-one million, thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1160537837 3481613511 5802689185 10444840533 17408067555 29013445925 52224202665 87040337775 261121013325