Search a number
-
+
102131301221 is a prime number
BaseRepresentation
bin101111100011101111…
…1111111101101100101
3100202121201001122212222
41133013133333231211
53133131103114341
6114530220122125
710243623510455
oct1370737775545
9322551048788
10102131301221
113a34a503274
1217963696345
139828239921
144d2c137d65
1529cb3d644b
hex17c77ffb65

102131301221 has 2 divisors, whose sum is σ = 102131301222. Its totient is φ = 102131301220.

The previous prime is 102131301137. The next prime is 102131301277. The reversal of 102131301221 is 122103131201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94518738721 + 7612562500 = 307439^2 + 87250^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102131301221 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102131301221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102131303221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51065650610 + 51065650611.

It is an arithmetic number, because the mean of its divisors is an integer number (51065650611).

Almost surely, 2102131301221 is an apocalyptic number.

It is an amenable number.

102131301221 is a deficient number, since it is larger than the sum of its proper divisors (1).

102131301221 is an equidigital number, since it uses as much as digits as its factorization.

102131301221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102131301221 its reverse (122103131201), we get a palindrome (224234432422).

The spelling of 102131301221 in words is "one hundred two billion, one hundred thirty-one million, three hundred one thousand, two hundred twenty-one".