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12330310300 = 225271119271311
BaseRepresentation
bin10110111101111000…
…11001101010011100
31011211022122122220021
423132330121222130
5200223024412200
65355305201524
7614361623350
oct133674315234
934738578807
1012330310300
1152581586a0
1224814902a4
1312167158c9
1484d841460
154c276a41a
hex2def19a9c

12330310300 has 288 divisors, whose sum is σ = 35357736960. Its totient is φ = 3615840000.

The previous prime is 12330310271. The next prime is 12330310313. The reversal of 12330310300 is 301303321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39647145 + ... + 39647455.

It is an arithmetic number, because the mean of its divisors is an integer number (122769920).

Almost surely, 212330310300 is an apocalyptic number.

12330310300 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 12330310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17678868480).

12330310300 is an abundant number, since it is smaller than the sum of its proper divisors (23027426660).

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

12330310300 is a wasteful number, since it uses less digits than its factorization.

12330310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 12330310300 its reverse (301303321), we get a palindrome (12631613621).

The spelling of 12330310300 in words is "twelve billion, three hundred thirty million, three hundred ten thousand, three hundred".