Search a number
-
+
2232113401033 is a prime number
BaseRepresentation
bin100000011110110100010…
…100111000110011001001
321220101110211011100000221
4200132310110320303021
5243032332012313113
64425230240430041
7320156564600665
oct40366424706311
97811424140027
102232113401033
117906a790753a
12300722318321
13132644a49099
147a06b9538a5
153d0e088d98d
hex207b4538cc9

2232113401033 has 2 divisors, whose sum is σ = 2232113401034. Its totient is φ = 2232113401032.

The previous prime is 2232113401031. The next prime is 2232113401039. The reversal of 2232113401033 is 3301043112322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1852789213584 + 379324187449 = 1361172^2 + 615893^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232113401033 - 21 = 2232113401031 is a prime.

It is a super-3 number, since 3×22321134010333 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2232113401031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2232113400989 and 2232113401007.

It is not a weakly prime, because it can be changed into another prime (2232113401031) 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 as a sum of consecutive naturals, namely, 1116056700516 + 1116056700517.

It is an arithmetic number, because the mean of its divisors is an integer number (1116056700517).

Almost surely, 22232113401033 is an apocalyptic number.

It is an amenable number.

2232113401033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232113401033 is an equidigital number, since it uses as much as digits as its factorization.

2232113401033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2232113401033 its reverse (3301043112322), we get a palindrome (5533156513355).

The spelling of 2232113401033 in words is "two trillion, two hundred thirty-two billion, one hundred thirteen million, four hundred one thousand, thirty-three".