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20321103100320 = 2533511709603149
BaseRepresentation
bin1001001111011011000000…
…01000011011100110100000
32122221200022121121002211000
410213231200020123212200
510130420104343202240
6111115215203552000
74165102610236131
oct447554010334640
978850277532730
1020321103100320
116525149a25a10
12234244838b600
13b4536c1b5149
14503791d8dc88
152538ea05a430
hex127b6021b9a0

20321103100320 has 384 divisors, whose sum is σ = 77699230560000. Its totient is φ = 4919371591680.

The previous prime is 20321103100301. The next prime is 20321103100349. The reversal of 20321103100320 is 2300130112302.

20321103100320 is a `hidden beast` number, since 2 + 0 + 3 + 21 + 10 + 310 + 0 + 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 = 20321103100293 and 20321103100302.

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 63 ways as a sum of consecutive naturals, for example, 33390106 + ... + 33993254.

It is an arithmetic number, because the mean of its divisors is an integer number (202341746250).

Almost surely, 220321103100320 is an apocalyptic number.

20321103100320 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 20321103100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38849615280000).

20321103100320 is an abundant number, since it is smaller than the sum of its proper divisors (57378127459680).

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

20321103100320 is a wasteful number, since it uses less digits than its factorization.

20321103100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603893 (or 603879 counting only the distinct ones).

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

Adding to 20321103100320 its reverse (2300130112302), we get a palindrome (22621233212622).

The spelling of 20321103100320 in words is "twenty trillion, three hundred twenty-one billion, one hundred three million, one hundred thousand, three hundred twenty".