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13022323023120 = 243517127103324329
BaseRepresentation
bin1011110101111111111011…
…1100000001110100010000
31201002220220002012121011120
42331133332330001310100
53201324204143214440
643410212252242240
72512555206226425
oct275377674016420
951086802177146
1013022323023120
114170810945434
121563991770380
13735ccc709638
143303d8a4dd4c
15178b19320dd0
hexbd7fef01d10

13022323023120 has 320 divisors, whose sum is σ = 43123902750720. Its totient is φ = 3239340539904.

The previous prime is 13022323023119. The next prime is 13022323023179. The reversal of 13022323023120 is 2132032322031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535247116 + ... + 535271444.

It is an arithmetic number, because the mean of its divisors is an integer number (134762196096).

Almost surely, 213022323023120 is an apocalyptic number.

13022323023120 is a gapful number since it is divisible by the number (10) 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 13022323023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561951375360).

13022323023120 is an abundant number, since it is smaller than the sum of its proper divisors (30101579727600).

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

13022323023120 is a wasteful number, since it uses less digits than its factorization.

13022323023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25522 (or 25516 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13022323023120 its reverse (2132032322031), we get a palindrome (15154355345151).

The spelling of 13022323023120 in words is "thirteen trillion, twenty-two billion, three hundred twenty-three million, twenty-three thousand, one hundred twenty".