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2100022211 = 72985912043
BaseRepresentation
bin111110100101011…
…1100101111000011
312102100120011220102
41331022330233003
513300101202321
6544214433015
7103016615510
oct17512745703
95370504812
102100022211
11988453851
124a736276b
132760c7cc1
1415cc94307
15c456dc0b
hex7d2bcbc3

2100022211 has 16 divisors (see below), whose sum is σ = 2485881600. Its totient is φ = 1735782048.

The previous prime is 2100022201. The next prime is 2100022217. The reversal of 2100022211 is 1122200012.

It is a happy number.

It is not a de Polignac number, because 2100022211 - 214 = 2100005827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100022192 and 2100022201.

It is not an unprimeable number, because it can be changed into a prime (2100022217) 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, 168356 + ... + 180398.

It is an arithmetic number, because the mean of its divisors is an integer number (155367600).

Almost surely, 22100022211 is an apocalyptic number.

2100022211 is a deficient number, since it is larger than the sum of its proper divisors (385859389).

2100022211 is a wasteful number, since it uses less digits than its factorization.

2100022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12938.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2100022211 is about 45825.9992907956. Note that the first 3 decimals coincide. The cubic root of 2100022211 is about 1280.5836797246.

Adding to 2100022211 its reverse (1122200012), we get a palindrome (3222222223).

The spelling of 2100022211 in words is "two billion, one hundred million, twenty-two thousand, two hundred eleven".

Divisors: 1 7 29 203 859 6013 12043 24911 84301 174377 349247 2444729 10344937 72414559 300003173 2100022211