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105163555033 = 3167173292673
BaseRepresentation
bin110000111110000111…
…1001000000011011001
3101001110000210010010201
41201330033020003121
53210333332230113
6120151135542201
710412023316545
oct1417417100331
9331400703121
10105163555033
11406660a3459
121846b08a961
139bbc504c54
145138b38a25
152b076ebcdd
hex187c3c80d9

105163555033 has 16 divisors (see below), whose sum is σ = 110813400576. Its totient is φ = 99672376320.

The previous prime is 105163554983. The next prime is 105163555043. The reversal of 105163555033 is 330555361501.

It is a cyclic number.

It is not a de Polignac number, because 105163555033 - 29 = 105163554521 is a prime.

It is a super-2 number, since 2×1051635550332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105163554983 and 105163555001.

It is not an unprimeable number, because it can be changed into a prime (105163555043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212985 + ... + 505657.

It is an arithmetic number, because the mean of its divisors is an integer number (6925837536).

Almost surely, 2105163555033 is an apocalyptic number.

It is an amenable number.

105163555033 is a deficient number, since it is larger than the sum of its proper divisors (5649845543).

105163555033 is a wasteful number, since it uses less digits than its factorization.

105163555033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292944.

The product of its (nonzero) digits is 101250, while the sum is 37.

The spelling of 105163555033 in words is "one hundred five billion, one hundred sixty-three million, five hundred fifty-five thousand, thirty-three".

Divisors: 1 31 67 173 2077 5363 11591 292673 359321 9072863 19609091 50632429 607881821 1569605299 3392372743 105163555033