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230321201331 = 31314394104011
BaseRepresentation
bin1101011010000000110…
…1101010000010110011
3211000111110222022021010
43112200031222002303
512233144211420311
6253450314402003
722432400623614
oct3264015520263
9730443868233
10230321201331
118975134a581
123877a130303
13189470c6220
14b20d05bc0b
155ed0398da6
hex35a036a0b3

230321201331 has 16 divisors (see below), whose sum is σ = 330947527680. Its totient is φ = 141637593120.

The previous prime is 230321201311. The next prime is 230321201333. The reversal of 230321201331 is 133102123032.

It is not a de Polignac number, because 230321201331 - 26 = 230321201267 is a prime.

It is a super-2 number, since 2×2303212013312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230321201298 and 230321201307.

It is not an unprimeable number, because it can be changed into a prime (230321201333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1995885 + ... + 2108126.

It is an arithmetic number, because the mean of its divisors is an integer number (20684220480).

Almost surely, 2230321201331 is an apocalyptic number.

230321201331 is a deficient number, since it is larger than the sum of its proper divisors (100626326349).

230321201331 is a wasteful number, since it uses less digits than its factorization.

230321201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105466.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 230321201331 its reverse (133102123032), we get a palindrome (363423324363).

The spelling of 230321201331 in words is "two hundred thirty billion, three hundred twenty-one million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 3 13 39 1439 4317 18707 56121 4104011 12312033 53352143 160056429 5905671829 17717015487 76773733777 230321201331