Search a number
-
+
102164318381 is a prime number
BaseRepresentation
bin101111100100101110…
…1111100100010101101
3100202201000012002220202
41133021131330202231
53133213031142011
6114533355523245
710244504243426
oct1371135744255
9322630162822
10102164318381
113a367104584
1217972759525
139832029cc8
144d3269064d
1529ce25923b
hex17c977c8ad

102164318381 has 2 divisors, whose sum is σ = 102164318382. Its totient is φ = 102164318380.

The previous prime is 102164318303. The next prime is 102164318393. The reversal of 102164318381 is 183813461201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60794792356 + 41369526025 = 246566^2 + 203395^2 .

It is a cyclic number.

It is not a de Polignac number, because 102164318381 - 218 = 102164056237 is a prime.

It is a super-2 number, since 2×1021643183812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102164318681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51082159190 + 51082159191.

It is an arithmetic number, because the mean of its divisors is an integer number (51082159191).

Almost surely, 2102164318381 is an apocalyptic number.

It is an amenable number.

102164318381 is a deficient number, since it is larger than the sum of its proper divisors (1).

102164318381 is an equidigital number, since it uses as much as digits as its factorization.

102164318381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 38.

Adding to 102164318381 its reverse (183813461201), we get a palindrome (285977779582).

The spelling of 102164318381 in words is "one hundred two billion, one hundred sixty-four million, three hundred eighteen thousand, three hundred eighty-one".