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10221111 = 322834013
BaseRepresentation
bin100110111111…
…011000110111
3201020021201200
4212333120313
510104033421
61003023543
7152610105
oct46773067
921207650
1010221111
1158512aa
12350abb3
13216b3c4
141500c75
15d6d726
hex9bf637

10221111 has 12 divisors (see below), whose sum is σ = 14819688. Its totient is φ = 6788304.

The previous prime is 10221091. The next prime is 10221149. The reversal of 10221111 is 11112201.

It is a happy number.

It is not a de Polignac number, because 10221111 - 26 = 10221047 is a prime.

It is a super-4 number, since 4×102211114 (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

10221111 is a modest number, since divided by 1111 gives 1022 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10221093 and 10221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541 + ... + 4553.

It is an arithmetic number, because the mean of its divisors is an integer number (1234974).

Almost surely, 210221111 is an apocalyptic number.

10221111 is a deficient number, since it is larger than the sum of its proper divisors (4598577).

10221111 is a wasteful number, since it uses less digits than its factorization.

10221111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4299 counting only the distinct ones).

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

The square root of 10221111 is about 3197.0472314309. The cubic root of 10221111 is about 217.0198046582.

Adding to 10221111 its reverse (11112201), we get a palindrome (21333312).

The spelling of 10221111 in words is "ten million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 9 283 849 2547 4013 12039 36117 1135679 3407037 10221111