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13010022303120 = 2432567383704161
BaseRepresentation
bin1011110101010010000111…
…0000100000010110010000
31201001202010211020021112100
42331110201300200112100
53201124011202144440
643400415521200400
72511641323644123
oct275244160402620
951052124207470
1013010022303120
114166579468437
12156151a190100
13734abc1843ab
1432d98d1123ba
1517864949d230
hexbd521c20590

13010022303120 has 240 divisors, whose sum is σ = 44459954952192. Its totient is φ = 3408630128640.

The previous prime is 13010022303077. The next prime is 13010022303127. The reversal of 13010022303120 is 2130322001031.

13010022303120 is a `hidden beast` number, since 1 + 30 + 100 + 223 + 0 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13010022303093 and 13010022303102.

It is not an unprimeable number, because it can be changed into a prime (13010022303127) 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 47 ways as a sum of consecutive naturals, for example, 18123840 + ... + 18828000.

Almost surely, 213010022303120 is an apocalyptic number.

13010022303120 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 13010022303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22229977476096).

13010022303120 is an abundant number, since it is smaller than the sum of its proper divisors (31449932649072).

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

13010022303120 is a wasteful number, since it uses less digits than its factorization.

13010022303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704630 (or 704621 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13010022303120 its reverse (2130322001031), we get a palindrome (15140344304151).

The spelling of 13010022303120 in words is "thirteen trillion, ten billion, twenty-two million, three hundred three thousand, one hundred twenty".