Search a number
-
+
23129496452057 is a prime number
BaseRepresentation
bin1010100001001010000010…
…11010110111101111011001
310000220011021101011010210212
411100211001122313233121
511012423202042431212
6121105313300020505
74605023324661362
oct520450132675731
9100804241133725
1023129496452057
117408189842916
122716799691735
13cba1435904a8
1459d68b7c2b69
152a19b8123e22
hex1509416b7bd9

23129496452057 has 2 divisors, whose sum is σ = 23129496452058. Its totient is φ = 23129496452056.

The previous prime is 23129496452053. The next prime is 23129496452123. The reversal of 23129496452057 is 75025469492132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22687797975241 + 441698476816 = 4763171^2 + 664604^2 .

It is a cyclic number.

It is not a de Polignac number, because 23129496452057 - 22 = 23129496452053 is a prime.

It is a super-2 number, since 2×231294964520572 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23129496451987 and 23129496452005.

It is not a weakly prime, because it can be changed into another prime (23129496452053) 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, 11564748226028 + 11564748226029.

It is an arithmetic number, because the mean of its divisors is an integer number (11564748226029).

Almost surely, 223129496452057 is an apocalyptic number.

It is an amenable number.

23129496452057 is a deficient number, since it is larger than the sum of its proper divisors (1).

23129496452057 is an equidigital number, since it uses as much as digits as its factorization.

23129496452057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32659200, while the sum is 59.

The spelling of 23129496452057 in words is "twenty-three trillion, one hundred twenty-nine billion, four hundred ninety-six million, four hundred fifty-two thousand, fifty-seven".