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230120728821 = 32215311875973
BaseRepresentation
bin1101011001010001000…
…0111010100011110101
3210222222111202020200100
43112110100322203311
512232241401310241
6253414353504313
722424414630634
oct3262420724365
9728874666610
10230120728821
1189659174615
1238722b72099
1318914704b39
14b1d059551b
155ebc9999b6
hex359443a8f5

230120728821 has 12 divisors (see below), whose sum is σ = 332551023948. Its totient is φ = 153342550464.

The previous prime is 230120728811. The next prime is 230120728843. The reversal of 230120728821 is 128827021032.

230120728821 is a `hidden beast` number, since 230 + 120 + 7 + 288 + 21 = 666.

230120728821 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 2 ways, for example, as 112000662225 + 118120066596 = 334665^2 + 343686^2 .

It is not a de Polignac number, because 230120728821 - 27 = 230120728693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230120728811) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5918610 + ... + 5957363.

It is an arithmetic number, because the mean of its divisors is an integer number (27712585329).

Almost surely, 2230120728821 is an apocalyptic number.

It is an amenable number.

230120728821 is a deficient number, since it is larger than the sum of its proper divisors (102430295127).

230120728821 is a wasteful number, since it uses less digits than its factorization.

230120728821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11878132 (or 11878129 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 230120728821 its reverse (128827021032), we get a palindrome (358947749853).

The spelling of 230120728821 in words is "two hundred thirty billion, one hundred twenty million, seven hundred twenty-eight thousand, eight hundred twenty-one".

Divisors: 1 3 9 2153 6459 19377 11875973 35627919 106883757 25568969869 76706909607 230120728821