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106815339149 is a prime number
BaseRepresentation
bin110001101111010110…
…0001011101010001101
3101012201010220102222012
41203132230023222031
53222224211323044
6121023103231005
710500661254641
oct1433654135215
9335633812865
10106815339149
11413335242a2
12188502a8465
13a0c379c1bc
14525426cc21
152ba272959e
hex18deb0ba8d

106815339149 has 2 divisors, whose sum is σ = 106815339150. Its totient is φ = 106815339148.

The previous prime is 106815339139. The next prime is 106815339157. The reversal of 106815339149 is 941933518601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87324387049 + 19490952100 = 295507^2 + 139610^2 .

It is an emirp because it is prime and its reverse (941933518601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106815339149 is a prime.

It is a super-2 number, since 2×1068153391492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106815339097 and 106815339106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106815339139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53407669574 + 53407669575.

It is an arithmetic number, because the mean of its divisors is an integer number (53407669575).

Almost surely, 2106815339149 is an apocalyptic number.

It is an amenable number.

106815339149 is a deficient number, since it is larger than the sum of its proper divisors (1).

106815339149 is an equidigital number, since it uses as much as digits as its factorization.

106815339149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 699840, while the sum is 50.

The spelling of 106815339149 in words is "one hundred six billion, eight hundred fifteen million, three hundred thirty-nine thousand, one hundred forty-nine".