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106630013 = 7296179109
BaseRepresentation
bin1100101101100…
…00101101111101
321102122100212202
412112300231331
5204244130023
614325241245
72433224450
oct626605575
9242570782
10106630013
115520a786
122b863225
13191254a9
1410239497
159564128
hex65b0b7d

106630013 has 32 divisors (see below), whose sum is σ = 130944000. Its totient is φ = 84913920.

The previous prime is 106629997. The next prime is 106630019. The reversal of 106630013 is 310036601.

It is not a de Polignac number, because 106630013 - 24 = 106629997 is a prime.

It is a super-2 number, since 2×1066300132 = 22739919344760338, 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 (106630019) 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, 978203 + ... + 978311.

It is an arithmetic number, because the mean of its divisors is an integer number (4092000).

Almost surely, 2106630013 is an apocalyptic number.

It is an amenable number.

106630013 is a deficient number, since it is larger than the sum of its proper divisors (24313987).

106630013 is a wasteful number, since it uses less digits than its factorization.

106630013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 106630013 is about 10326.1809494120. The cubic root of 106630013 is about 474.1981122163.

Adding to 106630013 its reverse (310036601), we get a palindrome (416666614).

The spelling of 106630013 in words is "one hundred six million, six hundred thirty thousand, thirteen".

Divisors: 1 7 29 61 79 109 203 427 553 763 1769 2291 3161 4819 6649 8611 12383 16037 22127 33733 46543 60277 139751 192821 249719 525271 978257 1349747 1748033 3676897 15232859 106630013