Search a number
-
+
21759200069 is a prime number
BaseRepresentation
bin10100010000111100…
…110000101101000101
32002011102202220001212
4110100330300231011
5324030323400234
613555051101205
71400133102035
oct242074605505
962142686055
1021759200069
119256557082
124273141805
132089cb1019
1410a5bbb8c5
158754155ce
hex510f30b45

21759200069 has 2 divisors, whose sum is σ = 21759200070. Its totient is φ = 21759200068.

The previous prime is 21759200053. The next prime is 21759200107. The reversal of 21759200069 is 96000295712.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21032250625 + 726949444 = 145025^2 + 26962^2 .

It is a cyclic number.

It is not a de Polignac number, because 21759200069 - 24 = 21759200053 is a prime.

It is a super-2 number, since 2×217592000692 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21759199999 and 21759200035.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21759203069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10879600034 + 10879600035.

It is an arithmetic number, because the mean of its divisors is an integer number (10879600035).

Almost surely, 221759200069 is an apocalyptic number.

It is an amenable number.

21759200069 is a deficient number, since it is larger than the sum of its proper divisors (1).

21759200069 is an equidigital number, since it uses as much as digits as its factorization.

21759200069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 41.

The spelling of 21759200069 in words is "twenty-one billion, seven hundred fifty-nine million, two hundred thousand, sixty-nine".