Search a number
-
+
23333223313189 is a prime number
BaseRepresentation
bin1010100111000101100000…
…11111001010111100100101
310001121122010110011222200001
411103202300133022330211
511024242420132010224
6121343045041421301
74625525011505626
oct523426037127445
9101548113158601
1023333223313189
11748662329aa39
12274a17533a831
13100340ca4962a
145a9496837a4d
152a6e3d868544
hex1538b07caf25

23333223313189 has 2 divisors, whose sum is σ = 23333223313190. Its totient is φ = 23333223313188.

The previous prime is 23333223313171. The next prime is 23333223313273. The reversal of 23333223313189 is 98131332233332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23154477848100 + 178745465089 = 4811910^2 + 422783^2 .

It is a cyclic number.

It is not a de Polignac number, because 23333223313189 - 213 = 23333223304997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23333223313109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11666611656594 + 11666611656595.

It is an arithmetic number, because the mean of its divisors is an integer number (11666611656595).

Almost surely, 223333223313189 is an apocalyptic number.

It is an amenable number.

23333223313189 is a deficient number, since it is larger than the sum of its proper divisors (1).

23333223313189 is an equidigital number, since it uses as much as digits as its factorization.

23333223313189 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1259712, while the sum is 46.

The spelling of 23333223313189 in words is "twenty-three trillion, three hundred thirty-three billion, two hundred twenty-three million, three hundred thirteen thousand, one hundred eighty-nine".