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2100121140 = 2235132692463
BaseRepresentation
bin111110100101101…
…0100111000110100
312102100202012121110
41331023110320310
513300112334030
6544220515020
7103020510105
oct17513247064
95370665543
102100121140
11988511107
124a73aba70
13276131040
1415ccbc3ac
15c458d1b0
hex7d2d4e34

2100121140 has 48 divisors (see below), whose sum is σ = 6332675328. Its totient is φ = 516952704.

The previous prime is 2100121139. The next prime is 2100121151. The reversal of 2100121140 is 411210012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1345452 + ... + 1347011.

It is an arithmetic number, because the mean of its divisors is an integer number (131930736).

Almost surely, 22100121140 is an apocalyptic number.

2100121140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100121140 is an abundant number, since it is smaller than the sum of its proper divisors (4232554188).

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

2100121140 is a wasteful number, since it uses less digits than its factorization.

2100121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692488 (or 2692486 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2100121140 is about 45827.0786762586. The cubic root of 2100121140 is about 1280.6037882220.

Adding to 2100121140 its reverse (411210012), we get a palindrome (2511331152).

The spelling of 2100121140 in words is "two billion, one hundred million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2692463 5384926 8077389 10769852 13462315 16154778 26924630 32309556 35002019 40386945 53849260 70004038 80773890 105006057 140008076 161547780 175010095 210012114 350020190 420024228 525030285 700040380 1050060570 2100121140