Search a number
-
+
221221200509 is a prime number
BaseRepresentation
bin1100111000000111001…
…1111010001001111101
3210011000021201100220122
43032001303322021331
512111030111404014
6245343322024325
721661032115151
oct3160163721175
9704007640818
10221221200509
1185901667241
1236a5a6480a5
1317b26a01c5a
14a9c8655061
155b4b51758e
hex3381cfa27d

221221200509 has 2 divisors, whose sum is σ = 221221200510. Its totient is φ = 221221200508.

The previous prime is 221221200427. The next prime is 221221200523. The reversal of 221221200509 is 905002122122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167977022500 + 53244178009 = 409850^2 + 230747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221221200509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221221200709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110610600254 + 110610600255.

It is an arithmetic number, because the mean of its divisors is an integer number (110610600255).

Almost surely, 2221221200509 is an apocalyptic number.

It is an amenable number.

221221200509 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221200509 is an equidigital number, since it uses as much as digits as its factorization.

221221200509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 221221200509 in words is "two hundred twenty-one billion, two hundred twenty-one million, two hundred thousand, five hundred nine".