Search a number
-
+
23301103249 is a prime number
BaseRepresentation
bin10101101100110110…
…101001111010010001
32020010220010200121001
4111230312221322101
5340210040300444
614412051302001
71453265052424
oct255466517221
966126120531
1023301103249
119977957826
1246235aa901
132274585178
1411b08ab9bb
1591598a8d4
hex56cda9e91

23301103249 has 2 divisors, whose sum is σ = 23301103250. Its totient is φ = 23301103248.

The previous prime is 23301103247. The next prime is 23301103253. The reversal of 23301103249 is 94230110332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22517103249 + 784000000 = 150057^2 + 28000^2 .

It is a cyclic number.

It is not a de Polignac number, because 23301103249 - 21 = 23301103247 is a prime.

Together with 23301103247, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (23301103247) 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, 11650551624 + 11650551625.

It is an arithmetic number, because the mean of its divisors is an integer number (11650551625).

Almost surely, 223301103249 is an apocalyptic number.

It is an amenable number.

23301103249 is a deficient number, since it is larger than the sum of its proper divisors (1).

23301103249 is an equidigital number, since it uses as much as digits as its factorization.

23301103249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The spelling of 23301103249 in words is "twenty-three billion, three hundred one million, one hundred three thousand, two hundred forty-nine".