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13032120122300 = 22521012515140673
BaseRepresentation
bin1011110110100100011011…
…1000111111101110111100
31201010212011212011210200202
42331221012320333232330
53202004240222403200
643414512350143032
72513353041212666
oct275510670775674
951125155153622
1013032120122300
114174989076014
1215658667b1a78
13736c01365346
14330a87c77536
15178ede4a01d5
hexbda46e3fbbc

13032120122300 has 72 divisors (see below), whose sum is σ = 28673486935632. Its totient is φ = 5140672000000.

The previous prime is 13032120122293. The next prime is 13032120122317. The reversal of 13032120122300 is 322102123031.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 35237 + ... + 5105436.

It is an arithmetic number, because the mean of its divisors is an integer number (398242874106).

Almost surely, 213032120122300 is an apocalyptic number.

13032120122300 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 13032120122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336743467816).

13032120122300 is an abundant number, since it is smaller than the sum of its proper divisors (15641366813332).

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

13032120122300 is a wasteful number, since it uses less digits than its factorization.

13032120122300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141039 (or 5141032 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13032120122300 its reverse (322102123031), we get a palindrome (13354222245331).

The spelling of 13032120122300 in words is "thirteen trillion, thirty-two billion, one hundred twenty million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 251 404 502 505 1004 1010 1255 2020 2510 2525 5020 5050 6275 10100 12550 25100 25351 50702 101404 126755 253510 507020 633775 1267550 2535100 5140673 10281346 20562692 25703365 51406730 102813460 128516825 257033650 514067300 519207973 1038415946 1290308923 2076831892 2580617846 2596039865 5161235692 5192079730 6451544615 10384159460 12903089230 12980199325 25806178460 25960398650 32257723075 51920797300 64515446150 129030892300 130321201223 260642402446 521284804892 651606006115 1303212012230 2606424024460 3258030030575 6516060061150 13032120122300