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2112305601 = 37195293999
BaseRepresentation
bin111110111100111…
…0011100111000001
312110012200020112210
41331321303213001
513311222234401
6545334012333
7103226205240
oct17571634701
95405606483
102112305601
1199438350a
124ab4a70a9
13278808c93
14160770957
15c56984d6
hex7de739c1

2112305601 has 16 divisors (see below), whose sum is σ = 3388160000. Its totient is φ = 1143503568.

The previous prime is 2112305581. The next prime is 2112305603. The reversal of 2112305601 is 1065032112.

It is not a de Polignac number, because 2112305601 - 214 = 2112289217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2112305603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2646601 + ... + 2647398.

It is an arithmetic number, because the mean of its divisors is an integer number (211760000).

Almost surely, 22112305601 is an apocalyptic number.

2112305601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112305601 is a deficient number, since it is larger than the sum of its proper divisors (1275854399).

2112305601 is a wasteful number, since it uses less digits than its factorization.

2112305601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294028.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2112305601 is about 45959.8259461456. The cubic root of 2112305601 is about 1283.0756119493.

Adding to 2112305601 its reverse (1065032112), we get a palindrome (3177337713).

The spelling of 2112305601 in words is "two billion, one hundred twelve million, three hundred five thousand, six hundred one".

Divisors: 1 3 7 19 21 57 133 399 5293999 15881997 37057993 100585981 111173979 301757943 704101867 2112305601