Search a number
-
+
23301312301321 = 37217020681009
BaseRepresentation
bin1010100110001010000100…
…11100010100100100001001
310001111120202111222121211121
411103011002130110210021
511023232041422120241
6121320250341555241
74623315145414615
oct523050234244411
9101446674877747
1023301312301321
11747403836a45a
122743b4a415b21
1310003c57966a2
145a7b0a69a345
152a61c20a8ad1
hex153142714909

23301312301321 has 6 divisors (see below), whose sum is σ = 23948098181070. Its totient is φ = 22671547102656.

The previous prime is 23301312301307. The next prime is 23301312301361. The reversal of 23301312301321 is 12310321310332.

It can be written as a sum of positive squares in 3 ways, for example, as 15435469440000 + 7865842861321 = 3928800^2 + 2804611^2 .

It is not a de Polignac number, because 23301312301321 - 221 = 23301310204169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23301312301361) 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 in 5 ways as a sum of consecutive naturals, for example, 8510339136 + ... + 8510341873.

It is an arithmetic number, because the mean of its divisors is an integer number (3991349696845).

Almost surely, 223301312301321 is an apocalyptic number.

It is an amenable number.

23301312301321 is a deficient number, since it is larger than the sum of its proper divisors (646785879749).

23301312301321 is an equidigital number, since it uses as much as digits as its factorization.

23301312301321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17020681083 (or 17020681046 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 23301312301321 its reverse (12310321310332), we get a palindrome (35611633611653).

The spelling of 23301312301321 in words is "twenty-three trillion, three hundred one billion, three hundred twelve million, three hundred one thousand, three hundred twenty-one".

Divisors: 1 37 1369 17020681009 629765197333 23301312301321