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2134103120 = 24547295641
BaseRepresentation
bin111111100110011…
…1101010001010000
312111201200200010022
41333030331101100
513332312244440
6551433123012
7103612401662
oct17714752120
95451620108
102134103120
119a5711296
124b6859468
1328019b616
14163606532
15c7551cb5
hex7f33d450

2134103120 has 40 divisors (see below), whose sum is σ = 4963718760. Its totient is φ = 853309440.

The previous prime is 2134103107. The next prime is 2134103129. The reversal of 2134103120 is 213014312.

It can be written as a sum of positive squares in 4 ways, for example, as 238023184 + 1896079936 = 15428^2 + 43544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×21341031202 = 9108792253587468800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134103129) by changing a digit.

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, 375500 + ... + 381140.

It is an arithmetic number, because the mean of its divisors is an integer number (124092969).

Almost surely, 22134103120 is an apocalyptic number.

2134103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134103120 is an abundant number, since it is smaller than the sum of its proper divisors (2829615640).

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

2134103120 is a wasteful number, since it uses less digits than its factorization.

2134103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2134103120 is about 46196.3539686846. The cubic root of 2134103120 is about 1287.4739985323.

Adding to 2134103120 its reverse (213014312), we get a palindrome (2347117432).

The spelling of 2134103120 in words is "two billion, one hundred thirty-four million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4729 5641 9458 11282 18916 22564 23645 28205 37832 45128 47290 56410 75664 90256 94580 112820 189160 225640 378320 451280 26676289 53352578 106705156 133381445 213410312 266762890 426820624 533525780 1067051560 2134103120