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106516333 = 7112947701
BaseRepresentation
bin1100101100101…
…00111101101101
321102102120221101
412112110331231
5204232010313
614323003101
72432242150
oct626247555
9242376841
10106516333
1155142330
122b809491
13190b5821
1410209c97
1595405dd
hex6594f6d

106516333 has 16 divisors (see below), whose sum is σ = 137381760. Its totient is φ = 80136000.

The previous prime is 106516331. The next prime is 106516343. The reversal of 106516333 is 333615601.

It is not a de Polignac number, because 106516333 - 21 = 106516331 is a prime.

It is a super-2 number, since 2×1065163332 = 22691458391533778, 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 (106516331) 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, 21618 + ... + 26083.

It is an arithmetic number, because the mean of its divisors is an integer number (8586360).

Almost surely, 2106516333 is an apocalyptic number.

It is an amenable number.

106516333 is a deficient number, since it is larger than the sum of its proper divisors (30865427).

106516333 is a wasteful number, since it uses less digits than its factorization.

106516333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47748.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 106516333 is about 10320.6750263730. The cubic root of 106516333 is about 474.0295355082.

The spelling of 106516333 in words is "one hundred six million, five hundred sixteen thousand, three hundred thirty-three".

Divisors: 1 7 11 29 77 203 319 2233 47701 333907 524711 1383329 3672977 9683303 15216619 106516333