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10221240231020 = 225713412692711879
BaseRepresentation
bin1001010010111101000101…
…1001001010010001101100
31100012010210210202110200202
42110233101121022101230
52314431044444343040
633423323431013032
72103313601313140
oct224572131122154
940163723673622
1010221240231020
113290892709155
121190b4080a178
13591b21a91520
142749d40d9220
1512ad27e69015
hex94bd164a46c

10221240231020 has 384 divisors, whose sum is σ = 27277660569600. Its totient is φ = 3130953523200.

The previous prime is 10221240231011. The next prime is 10221240231023. The reversal of 10221240231020 is 2013204212201.

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 = 10221240230983 and 10221240231001.

It is not an unprimeable number, because it can be changed into a prime (10221240231023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5439722441 + ... + 5439724319.

It is an arithmetic number, because the mean of its divisors is an integer number (71035574400).

Almost surely, 210221240231020 is an apocalyptic number.

10221240231020 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 10221240231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13638830284800).

10221240231020 is an abundant number, since it is smaller than the sum of its proper divisors (17056420338580).

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

10221240231020 is a wasteful number, since it uses less digits than its factorization.

10221240231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10221240231020 its reverse (2013204212201), we get a palindrome (12234444443221).

The spelling of 10221240231020 in words is "ten trillion, two hundred twenty-one billion, two hundred forty million, two hundred thirty-one thousand, twenty".