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106938517841 is a prime number
BaseRepresentation
bin110001110011000001…
…0000100100101010001
3101020000201200120100222
41203212002010211101
53223002230032331
6121043223322425
710504015255331
oct1434602044521
9336021616328
10106938517841
1141397007271
12188855b0415
13a113169bbc
1452667750c1
152bad45bb7b
hex18e6084951

106938517841 has 2 divisors, whose sum is σ = 106938517842. Its totient is φ = 106938517840.

The previous prime is 106938517793. The next prime is 106938517919. The reversal of 106938517841 is 148715839601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54074851600 + 52863666241 = 232540^2 + 229921^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106938517841 is a prime.

It is a super-2 number, since 2×1069385178412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106938517241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53469258920 + 53469258921.

It is an arithmetic number, because the mean of its divisors is an integer number (53469258921).

Almost surely, 2106938517841 is an apocalyptic number.

It is an amenable number.

106938517841 is a deficient number, since it is larger than the sum of its proper divisors (1).

106938517841 is an equidigital number, since it uses as much as digits as its factorization.

106938517841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1451520, while the sum is 53.

The spelling of 106938517841 in words is "one hundred six billion, nine hundred thirty-eight million, five hundred seventeen thousand, eight hundred forty-one".