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100606085333 = 1359131168299
BaseRepresentation
bin101110110110010010…
…1110000100011010101
3100121200102002200000122
41131230211300203111
53122020124212313
6114115013321325
710161053421065
oct1355445604325
9317612080018
10100606085333
113973756aa76
12175b8936245
139644259110
144c2574d3a5
15293c55a708
hex176c9708d5

100606085333 has 8 divisors (see below), whose sum is σ = 110181372000. Its totient is φ = 91293135408.

The previous prime is 100606085269. The next prime is 100606085417. The reversal of 100606085333 is 333580606001.

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 100606085333 - 26 = 100606085269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100606085293 and 100606085302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100606085233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65583383 + ... + 65584916.

It is an arithmetic number, because the mean of its divisors is an integer number (13772671500).

Almost surely, 2100606085333 is an apocalyptic number.

100606085333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100606085333 is a deficient number, since it is larger than the sum of its proper divisors (9575286667).

100606085333 is a wasteful number, since it uses less digits than its factorization.

100606085333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131168371.

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 100606085333 in words is "one hundred billion, six hundred six million, eighty-five thousand, three hundred thirty-three".

Divisors: 1 13 59 767 131168299 1705187887 7738929641 100606085333