Search a number
-
+
2231320003 = 117997103257
BaseRepresentation
bin1000010011111111…
…0011110111000011
312202111121210121121
42010333303313003
514032204220003
61005224533111
7106202623063
oct20477636703
95674553547
102231320003
11a45581820
12523321197
132973793c3
141724b13a3
15d0d56cbd
hex84ff3dc3

2231320003 has 32 divisors (see below), whose sum is σ = 2524354560. Its totient is φ = 1955266560.

The previous prime is 2231319941. The next prime is 2231320019. The reversal of 2231320003 is 3000231322.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2231320003 is a prime.

It is a super-3 number, since 3×22313200033 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2231320033) 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, 8682051 + ... + 8682307.

It is an arithmetic number, because the mean of its divisors is an integer number (78886080).

Almost surely, 22231320003 is an apocalyptic number.

2231320003 is a deficient number, since it is larger than the sum of its proper divisors (293034557).

2231320003 is a wasteful number, since it uses less digits than its factorization.

2231320003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2231320003 is about 47236.8500537451. The cubic root of 2231320003 is about 1306.7342860400.

Adding to 2231320003 its reverse (3000231322), we get a palindrome (5231551325).

The spelling of 2231320003 in words is "two billion, two hundred thirty-one million, three hundred twenty thousand, three".

Divisors: 1 11 79 97 103 257 869 1067 1133 2827 7663 8137 9991 20303 24929 26471 84293 89507 109901 223333 274219 291181 789289 1969391 2091209 2567687 8682179 21663301 23003299 28244557 202847273 2231320003