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10223130327 = 37954177963
BaseRepresentation
bin10011000010101100…
…01001011011010111
3222101110121211101120
421201112021123113
5131414110132302
64410233055023
7511224113454
oct114126113327
928343554346
1010223130327
114376766143
121b93857473
13c6bcb2957
146cda4682b
153ec7859bc
hex2615896d7

10223130327 has 16 divisors (see below), whose sum is σ = 13807664640. Its totient is φ = 6727061952.

The previous prime is 10223130311. The next prime is 10223130397. The reversal of 10223130327 is 72303132201.

10223130327 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10223130327 - 24 = 10223130311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10223130297 and 10223130306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223130397) 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 15 ways as a sum of consecutive naturals, for example, 1279848 + ... + 1287810.

It is an arithmetic number, because the mean of its divisors is an integer number (862979040).

Almost surely, 210223130327 is an apocalyptic number.

10223130327 is a deficient number, since it is larger than the sum of its proper divisors (3584534313).

10223130327 is an equidigital number, since it uses as much as digits as its factorization.

10223130327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13462.

The product of its (nonzero) digits is 1512, while the sum is 24.

Adding to 10223130327 its reverse (72303132201), we get a palindrome (82526262528).

The spelling of 10223130327 in words is "ten billion, two hundred twenty-three million, one hundred thirty thousand, three hundred twenty-seven".

Divisors: 1 3 79 237 5417 7963 16251 23889 427943 629077 1283829 1887231 43135571 129406713 3407710109 10223130327