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2116802133 = 332912012251
BaseRepresentation
bin111111000101011…
…1101011001010101
312110112010200122000
41332022331121111
513313400132013
6550014225513
7103312343535
oct17612753125
95415120560
102116802133
11996974856
124b0ab5299
13279721854
141611c14c5
15c5c85973
hex7e2bd655

2116802133 has 32 divisors (see below), whose sum is σ = 3248284800. Its totient is φ = 1360800000.

The previous prime is 2116802111. The next prime is 2116802143. The reversal of 2116802133 is 3312086112.

It is a happy number.

It is not a de Polignac number, because 2116802133 - 213 = 2116793941 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2116802097 and 2116802106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116802143) 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 31 ways as a sum of consecutive naturals, for example, 939258 + ... + 941508.

It is an arithmetic number, because the mean of its divisors is an integer number (101508900).

Almost surely, 22116802133 is an apocalyptic number.

It is an amenable number.

2116802133 is a deficient number, since it is larger than the sum of its proper divisors (1131482667).

2116802133 is a wasteful number, since it uses less digits than its factorization.

2116802133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2116802133 is about 46008.7180108292. The cubic root of 2116802133 is about 1283.9854079484.

Adding to 2116802133 its reverse (3312086112), we get a palindrome (5428888245).

The spelling of 2116802133 in words is "two billion, one hundred sixteen million, eight hundred two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 29 87 261 783 1201 2251 3603 6753 10809 20259 32427 34829 60777 65279 104487 195837 313461 587511 940383 1762533 2703451 8110353 24331059 72993177 78400079 235200237 705600711 2116802133