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13023321444 = 2232717367157
BaseRepresentation
bin11000010000100000…
…00001110101100100
31020121121200021110200
430020100001311210
5203132432241234
65552142550500
7640505256120
oct141020016544
936547607420
1013023321444
115583364181
122635598430
1312c7178b83
148b78ba580
1551350bd99
hex308401d64

13023321444 has 288 divisors, whose sum is σ = 40828919040. Its totient is φ = 3427826688.

The previous prime is 13023321407. The next prime is 13023321481. The reversal of 13023321444 is 44412332031.

It is an interprime number because it is at equal distance from previous prime (13023321407) and next prime (13023321481).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82951014 + ... + 82951170.

It is an arithmetic number, because the mean of its divisors is an integer number (141767080).

Almost surely, 213023321444 is an apocalyptic number.

13023321444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023321444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20414459520).

13023321444 is an abundant number, since it is smaller than the sum of its proper divisors (27805597596).

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

13023321444 is a wasteful number, since it uses less digits than its factorization.

13023321444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13023321444 its reverse (44412332031), we get a palindrome (57435653475).

The spelling of 13023321444 in words is "thirteen billion, twenty-three million, three hundred twenty-one thousand, four hundred forty-four".