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101012211 = 339738569
BaseRepresentation
bin1100000010101…
…01001011110011
321001001221201000
412001111023303
5201324342321
614005013043
72334406146
oct601251363
9231057630
10101012211
1152022a73
12299b4183
1317c09451
14d5b605d
158d04826
hex60552f3

101012211 has 16 divisors (see below), whose sum is σ = 151194400. Its totient is φ = 66645504.

The previous prime is 101012207. The next prime is 101012231. The reversal of 101012211 is 112210101.

It is a happy number.

It is not a de Polignac number, because 101012211 - 22 = 101012207 is a prime.

It is a super-2 number, since 2×1010122112 = 20406933542217042, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012193 and 101012202.

It is not an unprimeable number, because it can be changed into a prime (101012231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16666 + ... + 21903.

It is an arithmetic number, because the mean of its divisors is an integer number (9449650).

Almost surely, 2101012211 is an apocalyptic number.

101012211 is a deficient number, since it is larger than the sum of its proper divisors (50182189).

101012211 is an equidigital number, since it uses as much as digits as its factorization.

101012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38675 (or 38669 counting only the distinct ones).

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

The square root of 101012211 is about 10050.4831227160. The cubic root of 101012211 is about 465.7197179261.

Adding to 101012211 its reverse (112210101), we get a palindrome (213222312).

The spelling of 101012211 in words is "one hundred one million, twelve thousand, two hundred eleven".

Divisors: 1 3 9 27 97 291 873 2619 38569 115707 347121 1041363 3741193 11223579 33670737 101012211