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20013311220320 = 2551161737334937
BaseRepresentation
bin1001000110011101101100…
…10011100101101001100000
32121212020212001212120010202
410203032312103211221200
510110344230133022240
6110321553243444332
74133625336360245
oct443166623455140
977766761776122
1020013311220320
11641666348a970
1222b28695266a8
13b22329cb1672
144d291407b5cc
1524a8d37b1315
hex1233b64e5a60

20013311220320 has 192 divisors, whose sum is σ = 51687665822016. Its totient is φ = 7262354964480.

The previous prime is 20013311220317. The next prime is 20013311220373. The reversal of 20013311220320 is 2302211331002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20013311220292 and 20013311220301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4053736892 + ... + 4053741828.

It is an arithmetic number, because the mean of its divisors is an integer number (269206592823).

Almost surely, 220013311220320 is an apocalyptic number.

20013311220320 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 20013311220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25843832911008).

20013311220320 is an abundant number, since it is smaller than the sum of its proper divisors (31674354601696).

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

20013311220320 is a wasteful number, since it uses less digits than its factorization.

20013311220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313 (or 9305 counting only the distinct ones).

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

Adding to 20013311220320 its reverse (2302211331002), we get a palindrome (22315522551322).

The spelling of 20013311220320 in words is "twenty trillion, thirteen billion, three hundred eleven million, two hundred twenty thousand, three hundred twenty".