Base | Representation |
---|---|
bin | 111111001111101… |
… | …0010001110010000 |
3 | 12110220011101112021 |
4 | 1332133102032100 |
5 | 13321231132240 |
6 | 550324341224 |
7 | 103405544602 |
oct | 17637221620 |
9 | 5426141467 |
10 | 2122130320 |
11 | 999983a12 |
12 | 4b2844814 |
13 | 27a868b1b |
14 | 161bab172 |
15 | c648954a |
hex | 7e7d2390 |
2122130320 has 40 divisors (see below), whose sum is σ = 4954470840. Its totient is φ = 845322240.
The previous prime is 2122130317. The next prime is 2122130359. The reversal of 2122130320 is 230312212.
It can be written as a sum of positive squares in 4 ways, for example, as 503194624 + 1618935696 = 22432^2 + 40236^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 2122130294 and 2122130303.
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, 35755 + ... + 74314.
It is an arithmetic number, because the mean of its divisors is an integer number (123861771).
Almost surely, 22122130320 is an apocalyptic number.
2122130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2122130320 is an abundant number, since it is smaller than the sum of its proper divisors (2832340520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122130320 is a wasteful number, since it uses less digits than its factorization.
2122130320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 110323 (or 110317 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 2122130320 is about 46066.5857211059. The cubic root of 2122130320 is about 1285.0618087122.
Adding to 2122130320 its reverse (230312212), we get a palindrome (2352442532).
The spelling of 2122130320 in words is "two billion, one hundred twenty-two million, one hundred thirty thousand, three hundred twenty".
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