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106318562033 is a prime number
BaseRepresentation
bin110001100000100010…
…1001000001011110001
3101011102112010112212202
41203001011020023301
53220220022441113
6120501515432545
710452446603105
oct1430105101361
9334375115782
10106318562033
11410a90692a2
1218731a55755
13a0448a5048
1452082b5905
152b73ceb258
hex18c11482f1

106318562033 has 2 divisors, whose sum is σ = 106318562034. Its totient is φ = 106318562032.

The previous prime is 106318561997. The next prime is 106318562039. The reversal of 106318562033 is 330265813601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67679583409 + 38638978624 = 260153^2 + 196568^2 .

It is a cyclic number.

It is not a de Polignac number, because 106318562033 - 212 = 106318557937 is a prime.

It is a super-2 number, since 2×1063185620332 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106318562039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53159281016 + 53159281017.

It is an arithmetic number, because the mean of its divisors is an integer number (53159281017).

Almost surely, 2106318562033 is an apocalyptic number.

It is an amenable number.

106318562033 is a deficient number, since it is larger than the sum of its proper divisors (1).

106318562033 is an equidigital number, since it uses as much as digits as its factorization.

106318562033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 106318562033 in words is "one hundred six billion, three hundred eighteen million, five hundred sixty-two thousand, thirty-three".