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1006200556101 = 33132866668251
BaseRepresentation
bin11101010010001100011…
…10100000101001000101
310120012011211212022102000
432221012032200221011
5112441144320243401
62050124145535513
7132460405416036
oct16510616405105
93505154768360
101006200556101
113587aaa89524
12143012644599
1373b65a84a50
14369b3b40a8d
151b290cb8186
hexea463a0a45

1006200556101 has 16 divisors (see below), whose sum is σ = 1605334221120. Its totient is φ = 619200342000.

The previous prime is 1006200556079. The next prime is 1006200556169. The reversal of 1006200556101 is 1016550026001.

It is a happy number.

1006200556101 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 2 + 0 + 0 + 556 + 101 = 666.

It is not a de Polignac number, because 1006200556101 - 25 = 1006200556069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006200556201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1433333775 + ... + 1433334476.

It is an arithmetic number, because the mean of its divisors is an integer number (100333388820).

Almost surely, 21006200556101 is an apocalyptic number.

It is an amenable number.

1006200556101 is a deficient number, since it is larger than the sum of its proper divisors (599133665019).

1006200556101 is a wasteful number, since it uses less digits than its factorization.

1006200556101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866668273 (or 2866668267 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 1006200556101 in words is "one trillion, six billion, two hundred million, five hundred fifty-six thousand, one hundred one".

Divisors: 1 3 9 13 27 39 117 351 2866668251 8600004753 25800014259 37266687263 77400042777 111800061789 335400185367 1006200556101