Search a number
-
+
20123764261 is a prime number
BaseRepresentation
bin10010101111011110…
…000100011000100101
31220221110102010220021
4102233132010120211
5312203140424021
613124510035141
71311454113436
oct225736043045
956843363807
1020123764261
118597381a37
123a974a8ab1
131b8921c023
14d8c90148d
157cba66c41
hex4af784625

20123764261 has 2 divisors, whose sum is σ = 20123764262. Its totient is φ = 20123764260.

The previous prime is 20123764249. The next prime is 20123764267. The reversal of 20123764261 is 16246732102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19941676225 + 182088036 = 141215^2 + 13494^2 .

It is a cyclic number.

It is not a de Polignac number, because 20123764261 - 29 = 20123763749 is a prime.

It is a super-2 number, since 2×201237642612 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20123764267) 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 as a sum of consecutive naturals, namely, 10061882130 + 10061882131.

It is an arithmetic number, because the mean of its divisors is an integer number (10061882131).

Almost surely, 220123764261 is an apocalyptic number.

It is an amenable number.

20123764261 is a deficient number, since it is larger than the sum of its proper divisors (1).

20123764261 is an equidigital number, since it uses as much as digits as its factorization.

20123764261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 20123764261 in words is "twenty billion, one hundred twenty-three million, seven hundred sixty-four thousand, two hundred sixty-one".