Search a number
-
+
106815339161 is a prime number
BaseRepresentation
bin110001101111010110…
…0001011101010011001
3101012201010220102222122
41203132230023222121
53222224211323121
6121023103231025
710500661254656
oct1433654135231
9335633812878
10106815339161
1141333524303
12188502a8475
13a0c379c1cb
14525426cc2d
152ba27295ab
hex18deb0ba99

106815339161 has 2 divisors, whose sum is σ = 106815339162. Its totient is φ = 106815339160.

The previous prime is 106815339157. The next prime is 106815339167. The reversal of 106815339161 is 161933518601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95354352025 + 11460987136 = 308795^2 + 107056^2 .

It is a cyclic number.

It is not a de Polignac number, because 106815339161 - 22 = 106815339157 is a prime.

It is a super-2 number, since 2×1068153391612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106815339167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53407669580 + 53407669581.

It is an arithmetic number, because the mean of its divisors is an integer number (53407669581).

Almost surely, 2106815339161 is an apocalyptic number.

It is an amenable number.

106815339161 is a deficient number, since it is larger than the sum of its proper divisors (1).

106815339161 is an equidigital number, since it uses as much as digits as its factorization.

106815339161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 44.

The spelling of 106815339161 in words is "one hundred six billion, eight hundred fifteen million, three hundred thirty-nine thousand, one hundred sixty-one".