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230201313223 = 717101131293499
BaseRepresentation
bin1101011001100100010…
…0010100011111000111
3211000012010101100200211
43112121010110133013
512232423014010343
6253430353020251
722426413606610
oct3263104243707
9730163340624
10230201313223
118969a7048a2
1238745b54687
131892830b20b
14b1db170c07
155ec4ab679d
hex35991147c7

230201313223 has 64 divisors (see below), whose sum is σ = 285005952000. Its totient is φ = 181479168000.

The previous prime is 230201313169. The next prime is 230201313233. The reversal of 230201313223 is 322313102032.

230201313223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 230201313223 - 29 = 230201312711 is a prime.

It is a super-3 number, since 3×2302013132233 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230201313194 and 230201313203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230201313233) 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 63 ways as a sum of consecutive naturals, for example, 461325028 + ... + 461325526.

It is an arithmetic number, because the mean of its divisors is an integer number (4453218000).

Almost surely, 2230201313223 is an apocalyptic number.

230201313223 is a deficient number, since it is larger than the sum of its proper divisors (54804638777).

230201313223 is a wasteful number, since it uses less digits than its factorization.

230201313223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 230201313223 its reverse (322313102032), we get a palindrome (552514415255).

The spelling of 230201313223 in words is "two hundred thirty billion, two hundred one million, three hundred thirteen thousand, two hundred twenty-three".

Divisors: 1 7 17 101 119 131 293 499 707 917 1717 2051 2227 3493 4981 8483 12019 13231 15589 29593 34867 38383 50399 59381 65369 92617 146207 207151 224927 268681 352793 457583 503081 652511 856783 1023449 1111273 1574489 2485519 3521567 3876683 4567577 5997481 6602269 7778911 14766907 17398633 19153117 27136781 46215883 65903611 103368349 112238573 134071819 251037419 325602989 461325277 785670011 1757261933 1934464817 2279220923 13541253719 32885901889 230201313223