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234132015325 = 52131409511289
BaseRepresentation
bin1101101000001101011…
…0110000100011011101
3211101100001200201022011
43122003112300203131
512314000243442300
6255320405351221
722626003202525
oct3320326604335
9741301621264
10234132015325
119032746752a
1239462408511
1319103778850
14b491206685
156154bedeba
hex36835b08dd

234132015325 has 24 divisors (see below), whose sum is σ = 312878802600. Its totient is φ = 172774440960.

The previous prime is 234132015311. The next prime is 234132015353. The reversal of 234132015325 is 523510231432.

234132015325 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 12 ways, for example, as 93612745444 + 140519269881 = 305962^2 + 374859^2 .

It is not a de Polignac number, because 234132015325 - 211 = 234132013277 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 23 ways as a sum of consecutive naturals, for example, 202281 + ... + 713569.

It is an arithmetic number, because the mean of its divisors is an integer number (13036616775).

Almost surely, 2234132015325 is an apocalyptic number.

234132015325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

234132015325 is a deficient number, since it is larger than the sum of its proper divisors (78746787275).

234132015325 is a wasteful number, since it uses less digits than its factorization.

234132015325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512721 (or 512716 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 234132015325 its reverse (523510231432), we get a palindrome (757642246757).

The spelling of 234132015325 in words is "two hundred thirty-four billion, one hundred thirty-two million, fifteen thousand, three hundred twenty-five".

Divisors: 1 5 13 25 65 325 1409 7045 18317 35225 91585 457925 511289 2556445 6646757 12782225 33233785 166168925 720406201 3602031005 9365280613 18010155025 46826403065 234132015325