Search a number
-
+
20032313212253 is a prime number
BaseRepresentation
bin1001000111000001000101…
…11010011011110101011101
32121221001220100110202200202
410203200202322123311131
510111202134140243003
6110334415002233245
74135200252550526
oct443404272336535
977831810422622
1020032313212253
116423724626731
1222b64911b5825
13b24067998984
144d37d79b384d
1524b146ae1088
hex123822e9bd5d

20032313212253 has 2 divisors, whose sum is σ = 20032313212254. Its totient is φ = 20032313212252.

The previous prime is 20032313212211. The next prime is 20032313212271. The reversal of 20032313212253 is 35221231323002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16065691289209 + 3966621923044 = 4008203^2 + 1991638^2 .

It is a cyclic number.

It is not a de Polignac number, because 20032313212253 - 216 = 20032313146717 is a prime.

It is a super-2 number, since 2×200323132122532 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20032313212553) 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, 10016156606126 + 10016156606127.

It is an arithmetic number, because the mean of its divisors is an integer number (10016156606127).

Almost surely, 220032313212253 is an apocalyptic number.

It is an amenable number.

20032313212253 is a deficient number, since it is larger than the sum of its proper divisors (1).

20032313212253 is an equidigital number, since it uses as much as digits as its factorization.

20032313212253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 20032313212253 its reverse (35221231323002), we get a palindrome (55253544535255).

The spelling of 20032313212253 in words is "twenty trillion, thirty-two billion, three hundred thirteen million, two hundred twelve thousand, two hundred fifty-three".