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2122130320 = 245241110069
BaseRepresentation
bin111111001111101…
…0010001110010000
312110220011101112021
41332133102032100
513321231132240
6550324341224
7103405544602
oct17637221620
95426141467
102122130320
11999983a12
124b2844814
1327a868b1b
14161bab172
15c648954a
hex7e7d2390

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".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 964 1205 1928 2410 3856 4820 9640 19280 110069 220138 440276 550345 880552 1100690 1761104 2201380 4402760 8805520 26526629 53053258 106106516 132633145 212213032 265266290 424426064 530532580 1061065160 2122130320