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2100122340 = 223535002039
BaseRepresentation
bin111110100101101…
…0101001011100100
312102100202021020220
41331023111023210
513300112403330
6544220524340
7103020513441
oct17513251344
95370667226
102100122340
11988511aa8
124a73b06b0
13276131754
1415ccbc9c8
15c458d710
hex7d2d52e4

2100122340 has 24 divisors (see below), whose sum is σ = 5880342720. Its totient is φ = 560032608.

The previous prime is 2100122317. The next prime is 2100122371. The reversal of 2100122340 is 432210012.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 7 ways as a sum of consecutive naturals, for example, 17500960 + ... + 17501079.

It is an arithmetic number, because the mean of its divisors is an integer number (245014280).

Almost surely, 22100122340 is an apocalyptic number.

2100122340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100122340 is an abundant number, since it is smaller than the sum of its proper divisors (3780220380).

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

2100122340 is a wasteful number, since it uses less digits than its factorization.

2100122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35002051 (or 35002049 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2100122340 is about 45827.0917689526. The cubic root of 2100122340 is about 1280.6040321324.

Adding to 2100122340 its reverse (432210012), we get a palindrome (2532332352).

The spelling of 2100122340 in words is "two billion, one hundred million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 35002039 70004078 105006117 140008156 175010195 210012234 350020390 420024468 525030585 700040780 1050061170 2100122340