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10111002 = 2311219733
BaseRepresentation
bin100110100100…
…100000011010
3201000200200120
4212210200122
510042023002
61000414110
7151641066
oct46444032
921020616
1010111002
115786600
123477336
132130255
1414b2aa6
15d4acbc
hex9a481a

10111002 has 48 divisors (see below), whose sum is σ = 23429280. Its totient is φ = 2898720.

The previous prime is 10111001. The next prime is 10111019. The reversal of 10111002 is 20011101.

It is a super-2 number, since 2×101110022 = 204464722888008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (10111001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13428 + ... + 14160.

It is an arithmetic number, because the mean of its divisors is an integer number (488110).

Almost surely, 210111002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714640).

10111002 is an abundant number, since it is smaller than the sum of its proper divisors (13318278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10111002 is a wasteful number, since it uses less digits than its factorization.

10111002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 10111002 is about 3179.7801810817. The cubic root of 10111002 is about 216.2376927296.

Adding to 10111002 its reverse (20011101), we get a palindrome (30122103).

Subtracting 10111002 from its reverse (20011101), we obtain a palindrome (9900099).

Multiplying 10111002 by its reverse (20011101), we get a palindrome (202332282233202).

The spelling of 10111002 in words is "ten million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 733 1254 1466 2199 2299 4398 4598 6897 8063 13794 13927 16126 24189 27854 41781 48378 83562 88693 153197 177386 266079 306394 459591 532158 919182 1685167 3370334 5055501 10111002