Search a number
-
+
218200780829 is a prime number
BaseRepresentation
bin1100101100110111000…
…1111011000000011101
3202212012210021011001002
43023031301323000131
512033333344441304
6244123504000045
721523135014653
oct3131561730035
9685183234032
10218200780829
11845a171a229
1236357000025
131776501b285
14a7bd454dd3
155a2128d31e
hex32cdc7b01d

218200780829 has 2 divisors, whose sum is σ = 218200780830. Its totient is φ = 218200780828.

The previous prime is 218200780769. The next prime is 218200780859. The reversal of 218200780829 is 928087002812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217130836729 + 1069944100 = 465973^2 + 32710^2 .

It is a cyclic number.

It is not a de Polignac number, because 218200780829 - 232 = 213905813533 is a prime.

It is a super-2 number, since 2×2182007808292 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218200780859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109100390414 + 109100390415.

It is an arithmetic number, because the mean of its divisors is an integer number (109100390415).

Almost surely, 2218200780829 is an apocalyptic number.

It is an amenable number.

218200780829 is a deficient number, since it is larger than the sum of its proper divisors (1).

218200780829 is an equidigital number, since it uses as much as digits as its factorization.

218200780829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 258048, while the sum is 47.

The spelling of 218200780829 in words is "two hundred eighteen billion, two hundred million, seven hundred eighty thousand, eight hundred twenty-nine".