Search a number
-
+
102221762077 is a prime number
BaseRepresentation
bin101111100110011100…
…1000100111000011101
3100202212000021112212001
41133030321010320131
53133322232341302
6114543211042301
710246102432651
oct1371471047035
9322760245761
10102221762077
113a396579906
1217989a40391
139840bc0566
144d3a164a61
1529d4304787
hex17cce44e1d

102221762077 has 2 divisors, whose sum is σ = 102221762078. Its totient is φ = 102221762076.

The previous prime is 102221762039. The next prime is 102221762081. The reversal of 102221762077 is 770267122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61951707801 + 40270054276 = 248901^2 + 200674^2 .

It is an emirp because it is prime and its reverse (770267122201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102221762077 - 231 = 100074278429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221762087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110881038 + 51110881039.

It is an arithmetic number, because the mean of its divisors is an integer number (51110881039).

Almost surely, 2102221762077 is an apocalyptic number.

It is an amenable number.

102221762077 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221762077 is an equidigital number, since it uses as much as digits as its factorization.

102221762077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32928, while the sum is 37.

Adding to 102221762077 its reverse (770267122201), we get a palindrome (872488884278).

The spelling of 102221762077 in words is "one hundred two billion, two hundred twenty-one million, seven hundred sixty-two thousand, seventy-seven".