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230120352593 = 1737973771661
BaseRepresentation
bin1101011001010000111…
…1011110101101010001
3210222222111001010120222
43112110033132231101
512232241302240333
6253414341442425
722424411503025
oct3262417365521
9728874033528
10230120352593
1189658a3798a
1238722a10415
1318914602811
14b1d04d8385
155ebc923298
hex35943deb51

230120352593 has 16 divisors (see below), whose sum is σ = 252822047184. Its totient is φ = 208557711360.

The previous prime is 230120352589. The next prime is 230120352619. The reversal of 230120352593 is 395253021032.

It can be written as a sum of positive squares in 8 ways, for example, as 48855587089 + 181264765504 = 221033^2 + 425752^2 .

It is a cyclic number.

It is not a de Polignac number, because 230120352593 - 22 = 230120352589 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230120352523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1824818 + ... + 1946843.

It is an arithmetic number, because the mean of its divisors is an integer number (15801377949).

Almost surely, 2230120352593 is an apocalyptic number.

It is an amenable number.

230120352593 is a deficient number, since it is larger than the sum of its proper divisors (22701694591).

230120352593 is a wasteful number, since it uses less digits than its factorization.

230120352593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771812.

The product of its (nonzero) digits is 48600, while the sum is 35.

The spelling of 230120352593 in words is "two hundred thirty billion, one hundred twenty million, three hundred fifty-two thousand, five hundred ninety-three".

Divisors: 1 17 37 97 629 1649 3589 61013 3771661 64118237 139551457 365851117 2372374769 6219468989 13536491329 230120352593