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106826311 = 617432357
BaseRepresentation
bin1100101111000…
…00101001000111
321110000100011001
412113200221013
5204321420221
614333354131
72435002654
oct627405107
9243010131
10106826311
1155334209
122b938947
1319193947
141028ac2b
1595a2391
hex65e0a47

106826311 has 8 divisors (see below), whose sum is σ = 108769824. Its totient is φ = 104889120.

The previous prime is 106826299. The next prime is 106826327. The reversal of 106826311 is 113628601.

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

It is a cyclic number.

It is not a de Polignac number, because 106826311 - 213 = 106818119 is a prime.

It is a super-2 number, since 2×1068263112 = 22823721443737442, 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 106826311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106827311) 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, 44145 + ... + 46501.

It is an arithmetic number, because the mean of its divisors is an integer number (13596228).

Almost surely, 2106826311 is an apocalyptic number.

106826311 is a deficient number, since it is larger than the sum of its proper divisors (1943513).

106826311 is an equidigital number, since it uses as much as digits as its factorization.

106826311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 106826311 is about 10335.6814482646. The cubic root of 106826311 is about 474.4889217686.

The spelling of 106826311 in words is "one hundred six million, eight hundred twenty-six thousand, three hundred eleven".

Divisors: 1 61 743 2357 45323 143777 1751251 106826311