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13023444224 = 287231107313
BaseRepresentation
bin11000010000100000…
…11111110100000000
31020121121220111220002
430020100133310000
5203133000203344
65552145335132
7640506310100
oct141020376400
936547814802
1013023444224
11558343844a
1226356374a8
1312c71bca1b
148b790d200
1551353344e
hex30841fd00

13023444224 has 216 divisors, whose sum is σ = 31608154368. Its totient is φ = 5333852160.

The previous prime is 13023444197. The next prime is 13023444233. The reversal of 13023444224 is 42244432031.

It is a super-2 number, since 2×130234442242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41608292 + ... + 41608604.

It is an arithmetic number, because the mean of its divisors is an integer number (146334048).

Almost surely, 213023444224 is an apocalyptic number.

13023444224 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 13023444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15804077184).

13023444224 is an abundant number, since it is smaller than the sum of its proper divisors (18584710144).

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

13023444224 is a wasteful number, since it uses less digits than its factorization.

13023444224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 13023444224 its reverse (42244432031), we get a palindrome (55267876255).

The spelling of 13023444224 in words is "thirteen billion, twenty-three million, four hundred forty-four thousand, two hundred twenty-four".