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2117003136 = 2735513029
BaseRepresentation
bin111111000101110…
…1110011110000000
312110112111220100120
41332023232132000
513313423100021
6550022420240
7103314141543
oct17613563600
95415456316
102117003136
11996aa1876
124b0b91680
132797921a1
1416123485a
15c5cc52c6
hex7e2ee780

2117003136 has 32 divisors (see below), whose sum is σ = 5623290600. Its totient is φ = 705667584.

The previous prime is 2117003129. The next prime is 2117003159. The reversal of 2117003136 is 6313007112.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×21170031363 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2756131 + ... + 2756898.

Almost surely, 22117003136 is an apocalyptic number.

It is an amenable number.

2117003136 is an abundant number, since it is smaller than the sum of its proper divisors (3506287464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2117003136 is an equidigital number, since it uses as much as digits as its factorization.

2117003136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513046 (or 5513034 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2117003136 is about 46010.9023602015. The cubic root of 2117003136 is about 1284.0260473554.

The spelling of 2117003136 in words is "two billion, one hundred seventeen million, three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5513029 11026058 16539087 22052116 33078174 44104232 66156348 88208464 132312696 176416928 264625392 352833856 529250784 705667712 1058501568 2117003136