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10000221111 = 326197187787
BaseRepresentation
bin10010101000000111…
…10100001110110111
3221210221011212102200
421110003310032313
5130440024033421
64332151235543
7502546322406
oct112403641667
927727155380
1010000221111
114271956151
121b31078bb3
13c34a66cca
146ac1bd63d
153d7e03726
hex2540f43b7

10000221111 has 24 divisors (see below), whose sum is σ = 14832998544. Its totient is φ = 6489884160.

The previous prime is 10000221097. The next prime is 10000221131. The reversal of 10000221111 is 11112200001.

It is a happy number.

10000221111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000221111 - 25 = 10000221079 is a prime.

It is a super-4 number, since 4×100002211114 (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000221093 and 10000221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000221131) 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 23 ways as a sum of consecutive naturals, for example, 40641 + ... + 147146.

It is an arithmetic number, because the mean of its divisors is an integer number (618041606).

Almost surely, 210000221111 is an apocalyptic number.

10000221111 is a deficient number, since it is larger than the sum of its proper divisors (4832777433).

10000221111 is a wasteful number, since it uses less digits than its factorization.

10000221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187951 (or 187948 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000221111 its reverse (11112200001), we get a palindrome (21112421112).

The spelling of 10000221111 in words is "ten billion, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 9 61 97 183 291 549 873 5917 17751 53253 187787 563361 1690083 11455007 18215339 34365021 54646017 103095063 163938051 1111135679 3333407037 10000221111