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1331441430 = 2351118122291
BaseRepresentation
bin100111101011100…
…0010111100010110
310102210100020021120
41033113002330112
510211322111210
6340041224410
744665031304
oct11727027426
93383306246
101331441430
11623622720
12311a92106
13182ac6087
14c8b87274
157bd51270
hex4f5c2f16

1331441430 has 64 divisors (see below), whose sum is σ = 3505372416. Its totient is φ = 320976000.

The previous prime is 1331441407. The next prime is 1331441437. The reversal of 1331441430 is 341441331.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1331441430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331441437) 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 31 ways as a sum of consecutive naturals, for example, 48585 + ... + 70875.

It is an arithmetic number, because the mean of its divisors is an integer number (54771444).

Almost surely, 21331441430 is an apocalyptic number.

1331441430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331441430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752686208).

1331441430 is an abundant number, since it is smaller than the sum of its proper divisors (2173930986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331441430 is a wasteful number, since it uses less digits than its factorization.

1331441430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22493.

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

The square root of 1331441430 is about 36488.9220175110. The cubic root of 1331441430 is about 1100.1215926194.

Adding to 1331441430 its reverse (341441331), we get a palindrome (1672882761).

Subtracting from 1331441430 its reverse (341441331), we obtain a palindrome (990000099).

The spelling of 1331441430 in words is "one billion, three hundred thirty-one million, four hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 181 330 362 543 905 1086 1810 1991 2715 3982 5430 5973 9955 11946 19910 22291 29865 44582 59730 66873 111455 133746 222910 245201 334365 490402 668730 735603 1226005 1471206 2452010 3678015 4034671 7356030 8069342 12104013 20173355 24208026 40346710 44381381 60520065 88762762 121040130 133144143 221906905 266288286 443813810 665720715 1331441430