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10020213 = 33753017
BaseRepresentation
bin100110001110…
…010101110101
3200212002011000
4212032111311
510031121323
6554433513
7151112310
oct46162565
920762130
1010020213
115724375
123432899
1320cab28
14148b977
15d2de43
hex98e575

10020213 has 16 divisors (see below), whose sum is σ = 16965760. Its totient is φ = 5725728.

The previous prime is 10020193. The next prime is 10020253. The reversal of 10020213 is 31202001.

It is a happy number.

It is not a de Polignac number, because 10020213 - 28 = 10019957 is a prime.

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 = 10020195 and 10020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020253) 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, 26320 + ... + 26697.

It is an arithmetic number, because the mean of its divisors is an integer number (1060360).

Almost surely, 210020213 is an apocalyptic number.

It is an amenable number.

10020213 is a deficient number, since it is larger than the sum of its proper divisors (6945547).

10020213 is an equidigital number, since it uses as much as digits as its factorization.

10020213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53033 (or 53027 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10020213 is about 3165.4720027193. The cubic root of 10020213 is about 215.5885299378.

Adding to 10020213 its reverse (31202001), we get a palindrome (41222214).

The spelling of 10020213 in words is "ten million, twenty thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 63 189 53017 159051 371119 477153 1113357 1431459 3340071 10020213