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2116107 = 32733589
BaseRepresentation
bin1000000100101000001011
310222111202100
420010220023
51020203412
6113204443
723662260
oct10045013
93874670
102116107
111215954
12860723
13591246
143d1267
152bbedc
hex204a0b

2116107 has 12 divisors (see below), whose sum is σ = 3493360. Its totient is φ = 1209168.

The previous prime is 2116099. The next prime is 2116117. The reversal of 2116107 is 7016112.

It is not a de Polignac number, because 2116107 - 23 = 2116099 is a prime.

It is a Duffinian number.

2116107 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2116107.

It is not an unprimeable number, because it can be changed into a prime (2116117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16732 + ... + 16857.

22116107 is an apocalyptic number.

2116107 is a deficient number, since it is larger than the sum of its proper divisors (1377253).

2116107 is a wasteful number, since it uses less digits than its factorization.

2116107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33602 (or 33599 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 2116107 is about 1454.6845018766. The cubic root of 2116107 is about 128.3844843977.

The spelling of 2116107 in words is "two million, one hundred sixteen thousand, one hundred seven".

Divisors: 1 3 7 9 21 63 33589 100767 235123 302301 705369 2116107