Search a number
-
+
23088000241 is a prime number
BaseRepresentation
bin10101100000001001…
…101110110011110001
32012121001010221020001
4111200021232303301
5334241012001431
614334555550001
71445066523025
oct254011566361
965531127201
1023088000241
119878635339
12458415b301
13223c390b07
141190478385
15901de3e61
hex56026ecf1

23088000241 has 2 divisors, whose sum is σ = 23088000242. Its totient is φ = 23088000240.

The previous prime is 23088000217. The next prime is 23088000269. The reversal of 23088000241 is 14200088032.

23088000241 = T124063 + T124064 + T124065.

It is an a-pointer prime, because the next prime (23088000269) can be obtained adding 23088000241 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21278348641 + 1809651600 = 145871^2 + 42540^2 .

It is a cyclic number.

It is not a de Polignac number, because 23088000241 - 231 = 20940516593 is a prime.

It is not a weakly prime, because it can be changed into another prime (23088000211) 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 as a sum of consecutive naturals, namely, 11544000120 + 11544000121.

It is an arithmetic number, because the mean of its divisors is an integer number (11544000121).

Almost surely, 223088000241 is an apocalyptic number.

23088000241 is the 124065-th centered triangular number.

It is an amenable number.

23088000241 is a deficient number, since it is larger than the sum of its proper divisors (1).

23088000241 is an equidigital number, since it uses as much as digits as its factorization.

23088000241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 23088000241 its reverse (14200088032), we get a palindrome (37288088273).

The spelling of 23088000241 in words is "twenty-three billion, eighty-eight million, two hundred forty-one", and thus it is an aban number.