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106217331 = 3113218707
BaseRepresentation
bin1100101010010…
…11111101110011
321101212101210020
412111023331303
5204142423311
614312334523
72426555343
oct625137563
9241771706
10106217331
1154a58720
122b6a4443
131900c6bc
141016cd23
1594d1c06
hex654bf73

106217331 has 8 divisors (see below), whose sum is σ = 154497984. Its totient is φ = 64374120.

The previous prime is 106217327. The next prime is 106217351. The reversal of 106217331 is 133712601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106217331 - 22 = 106217327 is a prime.

It is a super-2 number, since 2×1062173312 = 22564242809527122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106217351) 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 7 ways as a sum of consecutive naturals, for example, 1609321 + ... + 1609386.

It is an arithmetic number, because the mean of its divisors is an integer number (19312248).

Almost surely, 2106217331 is an apocalyptic number.

106217331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106217331 is a deficient number, since it is larger than the sum of its proper divisors (48280653).

106217331 is a wasteful number, since it uses less digits than its factorization.

106217331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218721.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 106217331 is about 10306.1792629471. The cubic root of 106217331 is about 473.5855703917.

Adding to 106217331 its reverse (133712601), we get a palindrome (239929932).

The spelling of 106217331 in words is "one hundred six million, two hundred seventeen thousand, three hundred thirty-one".

Divisors: 1 3 11 33 3218707 9656121 35405777 106217331