Search a number
-
+
2300000300321 = 17557706934361
BaseRepresentation
bin100001011110000010101…
…100110110110100100001
322010212200222100010200012
4201132002230312310201
5300140400034102241
64520334444334305
7325112102661113
oct41360254666441
98125628303605
102300000300321
11807474232789
12311909544395
13138b73469889
147d46ba6d3b3
153ec656ea6eb
hex21782b36d21

2300000300321 has 16 divisors (see below), whose sum is σ = 2440082730960. Its totient is φ = 2160451246080.

The previous prime is 2300000300261. The next prime is 2300000300329. The reversal of 2300000300321 is 1230030000032.

It can be written as a sum of positive squares in 8 ways, for example, as 43033600 + 2299957266721 = 6560^2 + 1516561^2 .

It is a cyclic number.

It is not a de Polignac number, because 2300000300321 - 230 = 2298926558497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2300000300296 and 2300000300305.

It is not an unprimeable number, because it can be changed into a prime (2300000300329) 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 15 ways as a sum of consecutive naturals, for example, 66919181 + ... + 66953541.

It is an arithmetic number, because the mean of its divisors is an integer number (152505170685).

Almost surely, 22300000300321 is an apocalyptic number.

It is an amenable number.

2300000300321 is a deficient number, since it is larger than the sum of its proper divisors (140082430639).

2300000300321 is a wasteful number, since it uses less digits than its factorization.

2300000300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42004.

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 2300000300321 its reverse (1230030000032), we get a palindrome (3530030300353).

The spelling of 2300000300321 in words is "two trillion, three hundred billion, three hundred thousand, three hundred twenty-one".

Divisors: 1 17 557 7069 9469 34361 120173 584137 3937433 19139077 66936361 242897909 325364309 4129264453 135294135313 2300000300321