Search a number
-
+
218974598021 is a prime number
BaseRepresentation
bin1100101111101111100…
…1110011001110000101
3202221012201100010200002
43023323321303032011
512041424444114041
6244332345331045
721551252241524
oct3137371631605
9687181303602
10218974598021
11849594a7573
1236532196a85
131785943477a
14a8541264bb
155a6919259b
hex32fbe73385

218974598021 has 2 divisors, whose sum is σ = 218974598022. Its totient is φ = 218974598020.

The previous prime is 218974598009. The next prime is 218974598033. The reversal of 218974598021 is 120895479812.

It is a balanced prime because it is at equal distance from previous prime (218974598009) and next prime (218974598033).

It can be written as a sum of positive squares in only one way, i.e., 190947150625 + 28027447396 = 436975^2 + 167414^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218974598021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218974598071) 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, 109487299010 + 109487299011.

It is an arithmetic number, because the mean of its divisors is an integer number (109487299011).

Almost surely, 2218974598021 is an apocalyptic number.

It is an amenable number.

218974598021 is a deficient number, since it is larger than the sum of its proper divisors (1).

218974598021 is an equidigital number, since it uses as much as digits as its factorization.

218974598021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 56.

The spelling of 218974598021 in words is "two hundred eighteen billion, nine hundred seventy-four million, five hundred ninety-eight thousand, twenty-one".