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20300312101320 = 23335175821189947
BaseRepresentation
bin1001001110110100010001…
…11001000100000111001000
32122212200122122122220221000
410213122020321010013020
510130100014344220240
6111101500140415000
74163435441534526
oct447321071040710
978780578586830
1020300312101320
11651734aa53709
12233a405547460
13b43407989584
1450277ca03316
152530ceb44430
hex127688e441c8

20300312101320 has 256 divisors, whose sum is σ = 71660846188800. Its totient is φ = 5094078197760.

The previous prime is 20300312101301. The next prime is 20300312101403. The reversal of 20300312101320 is 2310121300302.

20300312101320 is a `hidden beast` number, since 2 + 0 + 30 + 0 + 312 + 1 + 0 + 1 + 320 = 666.

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 = 20300312101293 and 20300312101302.

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, 106778587 + ... + 106968533.

It is an arithmetic number, because the mean of its divisors is an integer number (279925180425).

Almost surely, 220300312101320 is an apocalyptic number.

20300312101320 is a gapful number since it is divisible by the number (20) 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 20300312101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35830423094400).

20300312101320 is an abundant number, since it is smaller than the sum of its proper divisors (51360534087480).

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

20300312101320 is a wasteful number, since it uses less digits than its factorization.

20300312101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195805 (or 195795 counting only the distinct ones).

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

Adding to 20300312101320 its reverse (2310121300302), we get a palindrome (22610433401622).

The spelling of 20300312101320 in words is "twenty trillion, three hundred billion, three hundred twelve million, one hundred one thousand, three hundred twenty".