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13130102323200 = 2113521973971093
BaseRepresentation
bin1011111100010001011100…
…0101011011100000000000
31201111020002101222022221110
42333010113011123200000
53210110422143320300
643531515152523320
72523422114165202
oct277042705334000
951436071868843
1013130102323200
114202499507855
121580850850540
13743217b08005
14335700d28772
1517b8264ad550
hexbf11715b800

13130102323200 has 576 divisors, whose sum is σ = 43776514061280. Its totient is φ = 3471633285120.

The previous prime is 13130102323189. The next prime is 13130102323223. The reversal of 13130102323200 is 232320103131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12012901854 + ... + 12012902946.

Almost surely, 213130102323200 is an apocalyptic number.

13130102323200 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 13130102323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21888257030640).

13130102323200 is an abundant number, since it is smaller than the sum of its proper divisors (30646411738080).

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

13130102323200 is a wasteful number, since it uses less digits than its factorization.

13130102323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13130102323200 its reverse (232320103131), we get a palindrome (13362422426331).

The spelling of 13130102323200 in words is "thirteen trillion, one hundred thirty billion, one hundred two million, three hundred twenty-three thousand, two hundred".