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1100220020020 = 22511297114916301
BaseRepresentation
bin10000000000101010001…
…110010011010100110100
310220011212020001221110101
4100000222032103110310
5121011222311120040
62201233433203444
7142326322603222
oct20005216232464
93804766057411
101100220020020
11394667578320
12159291560584
137c99a551b34
143b3727bbb12
151d944e6209a
hex1002a393534

1100220020020 has 192 divisors, whose sum is σ = 2662051392000. Its totient is φ = 378264320000.

The previous prime is 1100220019993. The next prime is 1100220020021. The reversal of 1100220020020 is 200200220011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100220019979 and 1100220020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100220020021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67485870 + ... + 67502170.

It is an arithmetic number, because the mean of its divisors is an integer number (13864851000).

Almost surely, 21100220020020 is an apocalyptic number.

1100220020020 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 1100220020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331025696000).

1100220020020 is an abundant number, since it is smaller than the sum of its proper divisors (1561831371980).

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

1100220020020 is a wasteful number, since it uses less digits than its factorization.

1100220020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16570 (or 16568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1100220020020 its reverse (200200220011), we get a palindrome (1300420240031).

The spelling of 1100220020020 in words is "one trillion, one hundred billion, two hundred twenty million, twenty thousand, twenty".