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10221430311 = 33631759929
BaseRepresentation
bin10011000010011111…
…01010011000100111
3222101100102110102000
421201033222120213
5131413141232221
64410132420343
7511203503241
oct114117523047
928340373360
1010221430311
114375804974
121b931776b3
13c6b838c21
146cd723091
153ec54be26
hex2613ea627

10221430311 has 16 divisors (see below), whose sum is σ = 15145509600. Its totient is φ = 6813094464.

The previous prime is 10221430309. The next prime is 10221430321. The reversal of 10221430311 is 11303412201.

10221430311 is a `hidden beast` number, since 1 + 0 + 221 + 430 + 3 + 11 = 666.

10221430311 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 10221430311 - 21 = 10221430309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221430321) 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, 140595 + ... + 200523.

It is an arithmetic number, because the mean of its divisors is an integer number (946594350).

Almost surely, 210221430311 is an apocalyptic number.

10221430311 is a deficient number, since it is larger than the sum of its proper divisors (4924079289).

10221430311 is an equidigital number, since it uses as much as digits as its factorization.

10221430311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66255 (or 66249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10221430311 its reverse (11303412201), we get a palindrome (21524842512).

The spelling of 10221430311 in words is "ten billion, two hundred twenty-one million, four hundred thirty thousand, three hundred eleven".

Divisors: 1 3 9 27 6317 18951 56853 59929 170559 179787 539361 1618083 378571493 1135714479 3407143437 10221430311