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2100011221 = 71173547683
BaseRepresentation
bin111110100101011…
…1010000011010101
312102100112121211101
41331022322003111
513300100324341
6544214310101
7103016541460
oct17512720325
95370477741
102100011221
11988446570
124a7358331
132760c2cb9
1415cc902d7
15c456a831
hex7d2ba0d5

2100011221 has 32 divisors (see below), whose sum is σ = 2662806528. Its totient is φ = 1608647040.

The previous prime is 2100011219. The next prime is 2100011227. The reversal of 2100011221 is 1221100012.

It is not a de Polignac number, because 2100011221 - 21 = 2100011219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100011198 and 2100011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100011227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3074346 + ... + 3075028.

It is an arithmetic number, because the mean of its divisors is an integer number (83212704).

Almost surely, 22100011221 is an apocalyptic number.

It is an amenable number.

2100011221 is a deficient number, since it is larger than the sum of its proper divisors (562795307).

2100011221 is a wasteful number, since it uses less digits than its factorization.

2100011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2100011221 is about 45825.8793805422. The cubic root of 2100011221 is about 1280.5814458372.

Adding to 2100011221 its reverse (1221100012), we get a palindrome (3321111233).

The spelling of 2100011221 in words is "two billion, one hundred million, eleven thousand, two hundred twenty-one".

Divisors: 1 7 11 73 77 511 547 683 803 3829 4781 5621 6017 7513 39931 42119 49859 52591 279517 349013 373601 439241 548449 2615207 3074687 3839143 4109611 27272873 28767277 190910111 300001603 2100011221