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106310911 = 7173312699
BaseRepresentation
bin1100101011000…
…10110011111111
321102001011011011
412111202303333
5204203422121
614314340051
72430425230
oct625426377
9242034134
10106310911
1155011a63
122b72a627
1319043185
1410195087
1594ee7e1
hex6562cff

106310911 has 16 divisors (see below), whose sum is σ = 129081600. Its totient is φ = 85472640.

The previous prime is 106310903. The next prime is 106310917. The reversal of 106310911 is 119013601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106310911 - 23 = 106310903 is a prime.

It is a super-2 number, since 2×1063109112 = 22604019595299842, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106310917) 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, 38040 + ... + 40738.

It is an arithmetic number, because the mean of its divisors is an integer number (8067600).

Almost surely, 2106310911 is an apocalyptic number.

106310911 is a deficient number, since it is larger than the sum of its proper divisors (22770689).

106310911 is a wasteful number, since it uses less digits than its factorization.

106310911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054.

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 106310911 is about 10310.7182582010. The cubic root of 106310911 is about 473.7246096254.

The spelling of 106310911 in words is "one hundred six million, three hundred ten thousand, nine hundred eleven".

Divisors: 1 7 17 119 331 2317 2699 5627 18893 39389 45883 321181 893369 6253583 15187273 106310911