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106322313 = 3105133721
BaseRepresentation
bin1100101011001…
…01100110001001
321102001201210110
412111211212021
5204204303223
614314504533
72430503406
oct625454611
9242051713
10106322313
115501a589
122b735149
1319048416
14101992ad
159502d93
hex6565989

106322313 has 8 divisors (see below), whose sum is σ = 141902176. Its totient is φ = 70812000.

The previous prime is 106322303. The next prime is 106322339. The reversal of 106322313 is 313223601.

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

It is not a de Polignac number, because 106322313 - 24 = 106322297 is a prime.

It is a super-2 number, since 2×1063223132 = 22608868483339938, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106322313.

It is not an unprimeable number, because it can be changed into a prime (106322303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13708 + ... + 20013.

It is an arithmetic number, because the mean of its divisors is an integer number (17737772).

Almost surely, 2106322313 is an apocalyptic number.

It is an amenable number.

106322313 is a deficient number, since it is larger than the sum of its proper divisors (35579863).

106322313 is a wasteful number, since it uses less digits than its factorization.

106322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34775.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 106322313 is about 10311.2711631496. The cubic root of 106322313 is about 473.7415449047.

Adding to 106322313 its reverse (313223601), we get a palindrome (419545914).

The spelling of 106322313 in words is "one hundred six million, three hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 1051 3153 33721 101163 35440771 106322313