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10224133431 = 36914932047
BaseRepresentation
bin10011000010110011…
…11110010100110111
3222101112111210101120
421201121332110313
5131414334232211
64410310355023
7511235462121
oct114131762467
928345453346
1010224133431
114377290856
121b9405ba73
13c6c2743c5
146cdc28211
153ec8d2d06
hex26167e537

10224133431 has 8 divisors (see below), whose sum is σ = 13651908864. Its totient is φ = 6806223480.

The previous prime is 10224133411. The next prime is 10224133457. The reversal of 10224133431 is 13433142201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10224133431 - 25 = 10224133399 is a prime.

It is a super-4 number, since 4×102241334314 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224133411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2463951 + ... + 2468096.

It is an arithmetic number, because the mean of its divisors is an integer number (1706488608).

Almost surely, 210224133431 is an apocalyptic number.

10224133431 is a deficient number, since it is larger than the sum of its proper divisors (3427775433).

10224133431 is an equidigital number, since it uses as much as digits as its factorization.

10224133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932741.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10224133431 its reverse (13433142201), we get a palindrome (23657275632).

The spelling of 10224133431 in words is "ten billion, two hundred twenty-four million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 691 2073 4932047 14796141 3408044477 10224133431