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106493319 = 334339109
BaseRepresentation
bin1100101100011…
…11010110000111
321102101102101000
412112033112013
5204230241234
614322304343
72432115102
oct626172607
9242342330
10106493319
1155127009
122b7b80b3
13190a81ca
1410201739
159538899
hex658f587

106493319 has 16 divisors (see below), whose sum is σ = 158149600. Its totient is φ = 70823808.

The previous prime is 106493311. The next prime is 106493323. The reversal of 106493319 is 913394601.

106493319 is a `hidden beast` number, since 1 + 0 + 649 + 3 + 3 + 1 + 9 = 666.

It is not a de Polignac number, because 106493319 - 23 = 106493311 is a prime.

It is a super-2 number, since 2×1064933192 = 22681653983271522, 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 (106493311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7137 + ... + 16245.

It is an arithmetic number, because the mean of its divisors is an integer number (9884350).

Almost surely, 2106493319 is an apocalyptic number.

106493319 is a deficient number, since it is larger than the sum of its proper divisors (51656281).

106493319 is an equidigital number, since it uses as much as digits as its factorization.

106493319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9551 (or 9545 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 106493319 is about 10319.5600196908. The cubic root of 106493319 is about 473.9953933217.

The spelling of 106493319 in words is "one hundred six million, four hundred ninety-three thousand, three hundred nineteen".

Divisors: 1 3 9 27 433 1299 3897 9109 11691 27327 81981 245943 3944197 11832591 35497773 106493319