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2105306112 = 210371317443
BaseRepresentation
bin111110101111100…
…0110110000000000
312102201111122001110
41331133012300000
513302424243422
6544524003320
7103112543460
oct17537066000
95381448043
102105306112
11990432708
124a9090540
13277228080
1415d86bba0
15c4c6460c
hex7d7c6c00

2105306112 has 352 divisors, whose sum is σ = 7329111552. Its totient is φ = 521404416.

The previous prime is 2105306111. The next prime is 2105306113. The reversal of 2105306112 is 2116035012.

It is an interprime number because it is at equal distance from previous prime (2105306111) and next prime (2105306113).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2105306111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4752163 + ... + 4752605.

Almost surely, 22105306112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664555776).

2105306112 is an abundant number, since it is smaller than the sum of its proper divisors (5223805440).

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

2105306112 is a wasteful number, since it uses less digits than its factorization.

2105306112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2105306112 is about 45883.6148532349. The cubic root of 2105306112 is about 1281.6568128543.

The spelling of 2105306112 in words is "two billion, one hundred five million, three hundred six thousand, one hundred twelve".