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2112200321 = 72112418689
BaseRepresentation
bin111110111100101…
…1001111010000001
312110012110220010112
41331321121322001
513311210402241
6545331441105
7103225256300
oct17571317201
95405426115
102112200321
11994311400
124ab456195
132787a009a
14160744437
15c56771eb
hex7de59e81

2112200321 has 36 divisors (see below), whose sum is σ = 2766913380. Its totient is φ = 1605542400.

The previous prime is 2112200281. The next prime is 2112200333. The reversal of 2112200321 is 1230022112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 948640000 + 1163560321 = 30800^2 + 34111^2 .

It is not a de Polignac number, because 2112200321 - 226 = 2045091457 is a prime.

It is a super-2 number, since 2×21122003212 = 8922780392065006082, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2112200296 and 2112200305.

It is not an unprimeable number, because it can be changed into a prime (2112200381) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 238745 + ... + 247433.

It is an arithmetic number, because the mean of its divisors is an integer number (76858705).

Almost surely, 22112200321 is an apocalyptic number.

It is an amenable number.

2112200321 is a deficient number, since it is larger than the sum of its proper divisors (654713059).

2112200321 is a wasteful number, since it uses less digits than its factorization.

2112200321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2112200321 is about 45958.6805837591. The cubic root of 2112200321 is about 1283.0542948879.

Adding to 2112200321 its reverse (1230022112), we get a palindrome (3342222433).

The spelling of 2112200321 in words is "two billion, one hundred twelve million, two hundred thousand, three hundred twenty-one".

Divisors: 1 7 11 41 49 77 121 287 451 539 847 2009 3157 4961 5929 8689 22099 34727 60823 95579 243089 356249 425761 669053 1051369 2493743 3918739 4683371 7359583 17456201 27431173 43106129 51517081 192018211 301742903 2112200321