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106217111 = 71113293659
BaseRepresentation
bin1100101010010…
…11111010010111
321101212101111002
412111023322113
5204142421421
614312333515
72426554610
oct625137227
9241771432
10106217111
1154a58540
122b6a429b
131900c580
141016cc07
1594d1b0b
hex654be97

106217111 has 32 divisors (see below), whose sum is σ = 147571200. Its totient is φ = 73745280.

The previous prime is 106217107. The next prime is 106217119. The reversal of 106217111 is 111712601.

It is a happy number.

It is not a de Polignac number, because 106217111 - 22 = 106217107 is a prime.

It is a super-2 number, since 2×1062171112 = 22564149338372642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106217119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27200 + ... + 30858.

It is an arithmetic number, because the mean of its divisors is an integer number (4611600).

Almost surely, 2106217111 is an apocalyptic number.

106217111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106217111 is a deficient number, since it is larger than the sum of its proper divisors (41354089).

106217111 is a wasteful number, since it uses less digits than its factorization.

106217111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719.

The product of its (nonzero) digits is 84, while the sum is 20.

The square root of 106217111 is about 10306.1685897330. The cubic root of 106217111 is about 473.5852434240.

Adding to 106217111 its reverse (111712601), we get a palindrome (217929712).

The spelling of 106217111 in words is "one hundred six million, two hundred seventeen thousand, one hundred eleven".

Divisors: 1 7 11 13 29 77 91 143 203 319 377 1001 2233 2639 3659 4147 25613 29029 40249 47567 106111 281743 332969 523237 742777 1167221 1379443 3662659 8170547 9656101 15173873 106217111