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230322322321 = 71347421127913
BaseRepresentation
bin1101011010000001000…
…1111011101110010001
3211000111120002020222021
43112200101323232101
512233200003303241
6253450354411441
722432413303040
oct3264021735621
9730446066867
10230322322321
1189751a45813
123877a590b81
13189473c9530
14b20d270557
155ed051b0d1
hex35a047bb91

230322322321 has 32 divisors (see below), whose sum is σ = 290194910208. Its totient is φ = 177930708480.

The previous prime is 230322322313. The next prime is 230322322381. The reversal of 230322322321 is 123223223032.

230322322321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230322322321 - 23 = 230322322313 is a prime.

It is a super-2 number, since 2×2303223223212 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230322322301) 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 31 ways as a sum of consecutive naturals, for example, 1736661 + ... + 1864573.

It is an arithmetic number, because the mean of its divisors is an integer number (9068590944).

Almost surely, 2230322322321 is an apocalyptic number.

It is an amenable number.

230322322321 is a deficient number, since it is larger than the sum of its proper divisors (59872587887).

230322322321 is a wasteful number, since it uses less digits than its factorization.

230322322321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128401.

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 230322322321 its reverse (123223223032), we get a palindrome (353545545353).

The spelling of 230322322321 in words is "two hundred thirty billion, three hundred twenty-two million, three hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 7 13 47 91 329 421 611 2947 4277 5473 19787 38311 127913 138509 257231 895391 1662869 1800617 6011911 11640083 42083377 53851373 78154843 376959611 547083901 700067849 2531014531 4900474943 17717101717 32903188903 230322322321