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10217431 = 72208519
BaseRepresentation
bin100110111110…
…011111010111
3201020002200101
4212332133113
510103424211
61002554531
7152563300
oct46763727
921202611
1010217431
115849564
123508a47
132169823
1414dd7a7
15d6c5c1
hex9be7d7

10217431 has 6 divisors (see below), whose sum is σ = 11885640. Its totient is φ = 8757756.

The previous prime is 10217423. The next prime is 10217437. The reversal of 10217431 is 13471201.

It is not a de Polignac number, because 10217431 - 23 = 10217423 is a prime.

It is a super-2 number, since 2×102174312 = 208791792479522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10217399 and 10217408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217437) 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 5 ways as a sum of consecutive naturals, for example, 104211 + ... + 104308.

It is an arithmetic number, because the mean of its divisors is an integer number (1980940).

Almost surely, 210217431 is an apocalyptic number.

10217431 is a deficient number, since it is larger than the sum of its proper divisors (1668209).

10217431 is an equidigital number, since it uses as much as digits as its factorization.

10217431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208533 (or 208526 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10217431 is about 3196.4716485525. The cubic root of 10217431 is about 216.9937563240.

Adding to 10217431 its reverse (13471201), we get a palindrome (23688632).

It can be divided in two parts, 10217 and 431, that added together give a cube (10648 = 223).

The spelling of 10217431 in words is "ten million, two hundred seventeen thousand, four hundred thirty-one".

Divisors: 1 7 49 208519 1459633 10217431