Search a number
-
+
230132312325 = 3352379214507
BaseRepresentation
bin1101011001010011110…
…1000110100100000101
3211000000022112202021000
43112110331012210011
512232302332443300
6253415450043513
722424615244036
oct3262475064405
9730008482230
10230132312325
1189664766463
1238726a19599
1318916c2c396
14b1d1d2ca8d
155ebd9d6c00
hex3594f46905

230132312325 has 48 divisors (see below), whose sum is σ = 434187616960. Its totient is φ = 119419997760.

The previous prime is 230132312323. The next prime is 230132312327. The reversal of 230132312325 is 523213231032.

It is a happy number.

230132312325 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 323 + 12 + 325 = 666.

It is an interprime number because it is at equal distance from previous prime (230132312323) and next prime (230132312327).

It is not a de Polignac number, because 230132312325 - 21 = 230132312323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230132312323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4582279 + ... + 4632228.

Almost surely, 2230132312325 is an apocalyptic number.

230132312325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230132312325 is a deficient number, since it is larger than the sum of its proper divisors (204055304635).

230132312325 is a wasteful number, since it uses less digits than its factorization.

230132312325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9214563 (or 9214552 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 230132312325 its reverse (523213231032), we get a palindrome (753345543357).

The spelling of 230132312325 in words is "two hundred thirty billion, one hundred thirty-two million, three hundred twelve thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 37 45 75 111 135 185 225 333 555 675 925 999 1665 2775 4995 8325 24975 9214507 27643521 46072535 82930563 138217605 230362675 248791689 340936759 414652815 691088025 1022810277 1243958445 1704683795 2073264075 3068430831 5114051385 6219792225 8523418975 9205292493 15342154155 25570256925 46026462465 76710770775 230132312325