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106852167563 is a prime number
BaseRepresentation
bin110001110000011100…
…0101010111110001011
3101012210201012112001112
41203200320222332023
53222313123330223
6121030500440535
710501616303261
oct1434070527613
9335721175045
10106852167563
1141352298aa9
12188606a914b
13a0cb2c526b
1452590d8431
152ba5aa1778
hex18e0e2af8b

106852167563 has 2 divisors, whose sum is σ = 106852167564. Its totient is φ = 106852167562.

The previous prime is 106852167517. The next prime is 106852167593. The reversal of 106852167563 is 365761258601.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106852167563 is a prime.

It is a super-2 number, since 2×1068521675632 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (106852167593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53426083781 + 53426083782.

It is an arithmetic number, because the mean of its divisors is an integer number (53426083782).

Almost surely, 2106852167563 is an apocalyptic number.

106852167563 is a deficient number, since it is larger than the sum of its proper divisors (1).

106852167563 is an equidigital number, since it uses as much as digits as its factorization.

106852167563 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 106852167563 in words is "one hundred six billion, eight hundred fifty-two million, one hundred sixty-seven thousand, five hundred sixty-three".