Search a number
-
+
21782532097 is a prime number
BaseRepresentation
bin10100010010010101…
…110001000000000001
32002020001200021121001
4110102111301000001
5324102312011342
614001243132001
71400535316324
oct242225610001
962201607531
1021782532097
119268742847
12427ab14001
132091a8cc61
1410a8d327bb
158774c38b7
hex512571001

21782532097 has 2 divisors, whose sum is σ = 21782532098. Its totient is φ = 21782532096.

The previous prime is 21782532067. The next prime is 21782532119. The reversal of 21782532097 is 79023528712.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18096706576 + 3685825521 = 134524^2 + 60711^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21782532097 is a prime.

It is not a weakly prime, because it can be changed into another prime (21782532067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10891266048 + 10891266049.

It is an arithmetic number, because the mean of its divisors is an integer number (10891266049).

Almost surely, 221782532097 is an apocalyptic number.

It is an amenable number.

21782532097 is a deficient number, since it is larger than the sum of its proper divisors (1).

21782532097 is an equidigital number, since it uses as much as digits as its factorization.

21782532097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 21782532097 in words is "twenty-one billion, seven hundred eighty-two million, five hundred thirty-two thousand, ninety-seven".