Search a number
-
+
321030000322031 = 711133110345461001
BaseRepresentation
bin100100011111110011001111…
…1001000011010010111101111
31120002200011112200201210010002
41020333212133020122113233
5314034223420040301111
63054435051323534515
7124422436452010520
oct11077463710322757
91502604480653102
10321030000322031
1193321070a46420
123000992168a43b
1310a18ccb12cc10
14593bd135ca847
15271aad8aea63b
hex123f99f21a5ef

321030000322031 has 32 divisors (see below), whose sum is σ = 444937586774016. Its totient is φ = 223461957600000.

The previous prime is 321030000322021. The next prime is 321030000322069. The reversal of 321030000322031 is 130223000030123.

It is not a de Polignac number, because 321030000322031 - 230 = 321028926580207 is a prime.

It is a super-2 number, since 2×3210300003220312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321030000321994 and 321030000322012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321030000322021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5172699470 + ... + 5172761531.

It is an arithmetic number, because the mean of its divisors is an integer number (13904299586688).

Almost surely, 2321030000322031 is an apocalyptic number.

321030000322031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

321030000322031 is a deficient number, since it is larger than the sum of its proper divisors (123907586451985).

321030000322031 is a wasteful number, since it uses less digits than its factorization.

321030000322031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10345461063.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 321030000322031 its reverse (130223000030123), we get a palindrome (451253000352154).

The spelling of 321030000322031 in words is "three hundred twenty-one trillion, thirty billion, three hundred twenty-two thousand, thirty-one".

Divisors: 1 7 11 13 31 77 91 143 217 341 403 1001 2387 2821 4433 31031 10345461001 72418227007 113800071011 134490993013 320709291031 796600497077 941436951091 1479400923143 2244965037217 3527802201341 4169220783403 10355806462001 24694615409387 29184545483821 45861428617433 321030000322031