Search a number
-
+
20272206781 is a prime number
BaseRepresentation
bin10010111000010100…
…010101001110111101
31221022210201210202101
4102320110111032331
5313004141104111
613151331425101
71315235625451
oct227024251675
957283653671
1020272206781
118663150002
123b19155191
131bb0bc4038
14da4502661
157d9ad9bc1
hex4b85153bd

20272206781 has 2 divisors, whose sum is σ = 20272206782. Its totient is φ = 20272206780.

The previous prime is 20272206749. The next prime is 20272206793. The reversal of 20272206781 is 18760227202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18195581881 + 2076624900 = 134891^2 + 45570^2 .

It is a cyclic number.

It is not a de Polignac number, because 20272206781 - 25 = 20272206749 is a prime.

It is a super-2 number, since 2×202722067812 (a number of 21 digits) contains 22 as substring.

It is the 142381-st Hogben number.

It is a self number, because there is not a number n which added to its sum of digits gives 20272206781.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20273206781) by changing a digit.

It is a nontrivial repunit in base 142380.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10136103390 + 10136103391.

It is an arithmetic number, because the mean of its divisors is an integer number (10136103391).

Almost surely, 220272206781 is an apocalyptic number.

It is an amenable number.

20272206781 is a deficient number, since it is larger than the sum of its proper divisors (1).

20272206781 is an equidigital number, since it uses as much as digits as its factorization.

20272206781 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 20272206781 in words is "twenty billion, two hundred seventy-two million, two hundred six thousand, seven hundred eighty-one".