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2107314100 = 225221073141
BaseRepresentation
bin111110110011011…
…0000111110110100
312102212021122111101
41331212300332310
513303433022400
6545035015444
7103135605613
oct17546607664
95385248441
102107314100
11991584301
124a989a584
1327777c028
1415dc3187a
15c500e56a
hex7d9b0fb4

2107314100 has 18 divisors (see below), whose sum is σ = 4572871814. Its totient is φ = 842925600.

The previous prime is 2107314059. The next prime is 2107314103. The reversal of 2107314100 is 14137012.

It can be written as a sum of positive squares in 3 ways, for example, as 727488784 + 1379825316 = 26972^2 + 37146^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2107314103) 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 5 ways as a sum of consecutive naturals, for example, 10536471 + ... + 10536670.

Almost surely, 22107314100 is an apocalyptic number.

2107314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2107314100 is an abundant number, since it is smaller than the sum of its proper divisors (2465557714).

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

2107314100 is a wasteful number, since it uses less digits than its factorization.

2107314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21073155 (or 21073148 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2107314100 is about 45905.4909569651. The cubic root of 2107314100 is about 1282.0641540516.

The spelling of 2107314100 in words is "two billion, one hundred seven million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21073141 42146282 84292564 105365705 210731410 421462820 526828525 1053657050 2107314100