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230344420313 = 7241673317029
BaseRepresentation
bin1101011010000110011…
…0001110101111011001
3211000120002122221201102
43112201212032233121
512233221132422223
6253452504201145
722433102160500
oct3264146165731
9730502587642
10230344420313
1189763469317
1238785a691b5
131894bb65877
14b212183837
155ed2433928
hex35a198ebd9

230344420313 has 24 divisors (see below), whose sum is σ = 274543967880. Its totient is φ = 192582593280.

The previous prime is 230344420309. The next prime is 230344420321. The reversal of 230344420313 is 313024443032.

It can be written as a sum of positive squares in 4 ways, for example, as 79406731264 + 150937689049 = 281792^2 + 388507^2 .

It is not a de Polignac number, because 230344420313 - 22 = 230344420309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230344420333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13518083 + ... + 13535111.

It is an arithmetic number, because the mean of its divisors is an integer number (11439331995).

Almost surely, 2230344420313 is an apocalyptic number.

It is an amenable number.

230344420313 is a deficient number, since it is larger than the sum of its proper divisors (44199547567).

230344420313 is a wasteful number, since it uses less digits than its factorization.

230344420313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23817 (or 23810 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 230344420313 its reverse (313024443032), we get a palindrome (543368863345).

The spelling of 230344420313 in words is "two hundred thirty billion, three hundred forty-four million, four hundred twenty thousand, three hundred thirteen".

Divisors: 1 7 41 49 287 2009 6733 17029 47131 119203 276053 329917 698189 834421 1932371 4887323 13526597 34211261 114656257 802593799 4700906537 5618156593 32906345759 230344420313